diff --git "a/data/dm_maths/full_data/2141_11255.jsonl" "b/data/dm_maths/full_data/2141_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2141_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the fifth root of 58 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 643301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58592841449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 4*d = 0. Let n be d + -1 + (-1 + -154)\/(-5). Solve 7*m = m - n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 + 148.99997334. Round z to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 966430*c**2 + c.\nAnswer: 966430*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from stsstssstsssttssst?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -93986392429896 and -0.3.\nAnswer: -93986392429896.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 8. Let n be k(-5). Let v = -13 - n. Let d = v + -12. What is the smallest value in d, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:57 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 549015\nAnswer: 2\/549015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157434 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r + 1 = -3, 4 = 4*r. Suppose 5*w + 233 - 653 = i. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.01 (b) -91 (c) 1 (d) -5 (e) -3 (f) -1 (g) -612\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 + 0*t + 0 - 2*t + t. Let o(v) = 5*v - 5. Suppose 4*q = 5*i + 27, 0 = -2*q + 4*q - 2*i - 12. Suppose 2*u + q*u = 5. Determine u*o(k) + 6*s(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:35 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6266112 and 27.\nAnswer: 56395008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 555*f + 16*f + 5710 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 29 - 8)*(12*f**5 + 160*f**5 + 0*f**5).\nAnswer: 2064*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/2 - y. Let v(n) = 6*n**2. Give v(c(d)).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0835 + 0.9165. Which is the biggest value? (a) -4 (b) n (c) -312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -917*r + 1530. Calculate w(2).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.5, -2\/101, 1\/25?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + 37. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 462748410 to the nearest one million.\nAnswer: 463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-14))\/3*(-43)\/((-31390)\/584).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1545 = p + 2*b, -6171 = -4*p - b + 2*b. Calculate the remainder when p is divided by 59.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 27 = 87 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7952887 and 5224?\nAnswer: 63623096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.876 - -30.136. Round k to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 + 5 - 3 - 17*i**2)*(-1 + 0 + 2).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uquq when four letters picked without replacement from {d: 1, u: 4, s: 5, l: 3, o: 1, q: 4}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 350 and ((-100880)\/(-45))\/8 - 8\/36.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -143952 - -388?\nAnswer: -143564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 13. Let l be m(13). Let b = -27 + l. Let s be b - (-36)\/40*1. What is the closest to -0.1 in -4, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(396)*-1 + sqrt(11))*1)**2 + 1.\nAnswer: 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15153183 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12.01 (b) -0.4 (c) -10 (d) 5 (e) -0.2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (1 - -21 - ((-2 - 82) + 71)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2131, 4234, 6337, 8440, 10543, 12646?\nAnswer: 14749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from {a: 14, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22793 in -5, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 4*u**2 - u + 3. Let h be v(-3). Which is the smallest value? (a) 3\/4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6 - -1)*(525 + 1). Let b = -253 + o. What is the remainder when 79 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2. Let t(o) be the third derivative of 2*o**5\/15 - 6*o**2 - 2. Calculate b(t(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209612 and 19604?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, a: 2}. What is prob of picking 2 g and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/4*15\/(11700\/(-60)).\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11101635 is divided by 444065.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0027 + -0.1637. Let v = c + -4.839. What is the biggest value in -1, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 195*d**3 - 14*d**3 + 45*d**3 - 28*d**3.\nAnswer: 198*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3873*u**2 + u + 8 - 4*u**4 - 2*u**3 + 1948*u**2 + 1939*u**2 to the form a*u**3 + s*u**4 + y*u + p + d*u**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -164, -249, -336, -425, -516?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p**14*p)\/p)\/p)*p)\/(p\/(p\/(p*(p*(p*p**4*p)\/p)\/p*p)*p)))**8\/((p**(-3\/4))**(-2\/27))**11 assuming p is positive.\nAnswer: p**(-2603\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 + 0)*-1. Suppose h = -2*u - 5*q - 8 + 2, q + 8 = 3*u. Let s be (3\/(-6))\/(9\/u). Which is the biggest value? (a) 2\/9 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 0. Let h = -3 + q. Solve g = h + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (sqrt(468)*-1)**2 + -5).\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005348298584 rounded to seven dps?\nAnswer: -0.0053483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/14 and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 3. Suppose a*c - c = 0. Solve -4*m + 2*m = c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 + 19 = 0. Let w = 0.036 + -0.136. Which is the nearest to w? (a) -2\/3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22459.\nAnswer: 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from ffaffuxsuhas.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190865?\nAnswer: 3, 5, 13, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.19 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28577673 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1176 by -392.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2301.1474.\nAnswer: 2300.6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0757201 rounded to 4 decimal places?\nAnswer: 0.0757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tftufnnuatnfannfff. What is prob of sequence ttf?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4269787.3265884 and -2.\nAnswer: -4269789.3265884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1846679 or 1846677?\nAnswer: 1846677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -345. Calculate the remainder when 811 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/30*15\/(-12)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:11 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) -5 (c) -32.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2396527.02 seconds?\nAnswer: 27.73758125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2 + 292109 - 291073 - 34*g**5 - 3*g**2 wrt g?\nAnswer: -2040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {k: 2, o: 2, v: 3, r: 5}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q + 118. Calculate n(-44).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10385.66*0.03.\nAnswer: -311.5698","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(2 + (-1)\/(-1)). Let b(x) = 2*x + q*x - 3*x. Let i(h) be the first derivative of -9*h**2\/2 + 3281. Give i(b(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*x = 16*x - 83*x + 2850 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + 66.7. Let m = -73.5 + x. Which is smaller: m or 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:30 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -43 + 57 + -19.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2046 - 2043 + 6135 + 10*y - 2046.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -12 + -5 + 6 - (1 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(0 + 4\/152). Suppose 2*s + 17 = g. Let w(v) = 14*v**2 + 0 + 4 + 2*v - 5. Give w(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5201 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15204, 15207, 15210, 15213, 15216, 15219?\nAnswer: 15222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1187*q = -1189*q + 492, -2*q - 6 = 0. What is the second smallest value in 2.1, x, -0.2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + -36)\/6 - 84\/(-12). Solve a = 4*g - 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + -4.83. Let z = -335\/4 - -83. Which is the nearest to -1? (a) h (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/(-936))\/(22\/36)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/(-266))\/((-5)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*z**2 + 13*z\/3.\nAnswer: z*(132*z + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (12 - (-15 + 8 + 12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7630 and 129120.\nAnswer: 98518560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 1. Suppose 3*i - 3*z = -21, -2*z + 23 = i - 6*i. Let r be v(i). List the prime factors of (-5 - r)*(6 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4068102 by -58958.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -2\/11, 1432 in descending order.\nAnswer: 1432, 8, 4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 40.11 (b) 6 (c) 0.085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211082, -422174, -633266, -844358?\nAnswer: -1055450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21805 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -117*q**3 - q**2 + q - 2. Let n be i(-4). Let r be n\/(-1*2) - 2. Let m = 735 + r. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2. Let u(v) = -6 + 6*v + 6. Calculate u(j(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5408340 and 630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -65 + 71 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23388190 and 113260.\nAnswer: 46776380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10 (b) -6\/11 (c) -129 (d) 3\/4 (e) 219 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2310\/9 - -2) + (-2)\/(-6)?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 475, 4, -1, -2, 2, 5 in decreasing order.\nAnswer: 475, 5, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a**2 - 2*a + 7. Let c(q) = -3*q**2 + q - 3. Let p = -57 + 53. Calculate p*t(x) - 9*c(x).\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 21*h + 13*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvkk when four letters picked without replacement from vnnkknknnannnkvn?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101111 + 1?\nAnswer: -2101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1890)\/(-288))\/(-35)*4. Which is the fourth biggest value? (a) 168 (b) 0.3 (c) 1\/3 (d) 2 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-92) - (-497)\/(-161) - (-62)\/18. Solve -4\/9*t**2 - 2\/9*t + n + 2\/9*t**3 = 0 for t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2110494 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (6 - 6) + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.053 (b) -0.4 (c) -0.1 (d) -5 (e) 2.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1656546 (base 8) to base 15\nAnswer: -98027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2003 + 13031. What are the prime factors of a?\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 8 - 7) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -12*f - 2. Give j(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16fd0 + 5?\nAnswer: 16fd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1950\/7 or 279?\nAnswer: 1950\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32226610?\nAnswer: 2, 5, 13, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526*b + 13752 = -514*b. What are the prime factors of b?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/3, -325036?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 3, w: 3, q: 11}. Give prob of sequence yqq.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k**3 + k**4 - 19*k**3 + 0*k**4 + 1 + 2*k - 2*k**2 - 20*k**3 as w + p*k**3 + s*k**4 + u*k**2 + x*k and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 588925 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2356, 7087, 16542, 33079, 59056, 96831?\n\"Answer: 393*b**3 + 4*b**2 + 1968*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 7*v**3 + 29*v - 6. What is the first derivative of m(y) wrt y?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.09 - 1.99. What is the fourth biggest value in 0.3, 5, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = 3. Suppose 5*h = 5*z + 445, 0 = z + c*h + 69 + 32. Find the common denominator of (z\/20)\/((-4)\/(-10)) and 19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 109, -18, -1895 in ascending order.\nAnswer: -1895, -18, 2, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 116*d + 496. What are the prime factors of n(10)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 160. Let u = o - 22. Let y = -24 + 34. Calculate the highest common factor of y and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + (0 - (3 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40399*l + n - 9 = -40398*l, -n + 13 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from qdedddqeqdq.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**3 + 527*v**2 + 3. Let y(p) = 10*p**3 + 528*p**2 + 4. Determine 4*c(k) - 3*y(k).\nAnswer: -2*k**3 + 524*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*k - 6 + 20 + 16.\nAnswer: -625*k + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 371 + 383 = 2*s, 0 = 4*m - s + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 3:03 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403858 divided by 177?\nAnswer: 801286\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -201, -203, -207, -213, -221?\n\"Answer: -c**2 + c - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1003077 + 7467617\/133409241. What is the common denominator of -36\/323 and m?\nAnswer: 20349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -40.2. Let b = j - -39.1. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2\/(16\/104).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:54 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/16)\/(((-2)\/2)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6190 + 6181. What is the nearest to -2 in 2, 1.43, p?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 0.3. Let b = -35 + 34.9. What is the third smallest value in b, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 2083*d + 12091. Determine j(303).\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 135*w**3 - 47249*w**2 - 343*w - 2232. Determine i(350).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28865*a**4 - 2*a**2 + 111667*a.\nAnswer: -346380*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*r + 118, -5*p + 24 = -4*r + 224. Let j be 0 + -1 - p\/27. Determine a so that -j*a + 1\/3*a**2 + 1\/3*a**3 - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 10*n + 18. Let z be m(-6). Let p(v) be the second derivative of -v**3\/3 + 5*v**2\/2 + 78*v. Determine p(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151\/(20385\/360)*3\/292?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -24*l**2 + 22*l - 22. Suppose -2*o + 4 = -0*o. Let b(h) = h**2 - h + 1. Give o*j(x) + 44*b(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2374 - 2367. What is the remainder when 47 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 + w**2 + 40*w - 8*w**2 - 4 - 32*w + 3*w**3. Let a be i(-8). Let t = a + 5. Is 3 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 39 + 10*h**2 + 20*h**2.\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -65*i**2 + 3555*i + 25010 = 0.\nAnswer: -82\/13, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 151*x - 2843. Let j be i(19). Solve -j = 32*g + 102 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*((-256)\/5376)\/((-2)\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/12 + 1758*i**2 + 3*i. Let c(u) = 749*u**2. Calculate h(c(b)).\nAnswer: 1498*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 19. Let j = -5 - h. Let c = j - -4. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 12. Let p = c + 17. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1179964*u + 942840 with respect to u.\nAnswer: 1179964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397 + 397 + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 1494547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036970383 rounded to 6 decimal places?\nAnswer: -0.03697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -5*t**6\/6 - 5*t**5 - 35*t**4\/4 - 5*t**3 + 112. Let j(z) = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.4. Which is the biggest value? (a) 2\/7 (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -3 - 2*-2)*10\/(-20). Let o(t) be the first derivative of 2*t - t + 2*t**2 - 2*t + 2*t + 2. Let q(z) = 3*z. What is i*o(h) + 3*q(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d - 1\/2*d**3 + 0 - 1\/2*d**2 + 1\/2*d**4.\nAnswer: d*(d - 1)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/549947066 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7. Let f be n(0). Let o(h) = 9*h - h**2 + 22*h - f*h - 12. Is o(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 144*u - 2*u**3 + 144*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:46 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -1\/16*a**4 + 1\/20*a**5 - 8*a**2 + 0*a + 0 - 1\/4*a**3. Factor u(r).\nAnswer: 3*(r - 1)*(2*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 - 13*t**2 + 9*t - 3. Let p(r) = 1 - 191*r - 5*r**3 + 181*r + 3 + 13*r**2. Let l(s) = 3*p(s) + 2*q(s). Calculate l(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1339.307 and 18?\nAnswer: 1321.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i - 5*i - 3*o, -12 = -4*i + o. Let h(b) = -26*b**2 - 5 - 12 - b + 27*b**i. Let y be h(6). Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279150 (base 11) in base 13?\nAnswer: 5c41b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263 + -0.19?\nAnswer: 2262.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)\/w**4 assuming w is positive.\nAnswer: w**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -j - 2*s - 4, -5*j + 2*s = -8. Let l(k) be the third derivative of 7\/24*k**4 + 0*k + 0*k**3 + j - 2*k**2. Let d(y) = y**2. What is l(d(u))?\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 510511 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3794 + -3794.04. Which is smaller: p or 0.527?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -140*j**2 - 1226*j - 766. Give n(-8).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k - 0*k + 5*o, k - 25 = 5*o. Let y = -2.06528 + 0.06528. Which is the closest to y? (a) k (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5810 and 1426936?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 33891440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from {k: 12, e: 1, w: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 18*s**2 + 4*s + 17. What are the prime factors of z(-3)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 23*z**2 - 14*z**2 - z**3 - 13 - 11*z**2 + 6*z - 2*z**4 + 0*z**4 to n*z**3 + q*z**4 + i*z + v*z**2 + a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/9 + 1100*i**2\/9 - 9906*i + 28612 = 0.\nAnswer: -622, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-513)\/114*4\/(-30)*-3.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.843082 milligrams?\nAnswer: 843.082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-14) + (-6)\/(840\/50)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -3\/4, -3, -5212\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 953, -2 in descending order.\nAnswer: 953, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 551*t + 8923. Determine p(-16).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/2340 + 5*l**5\/39 + 625*l**4\/39 + 217*l**3\/6 - 45*l**2. Let p(v) be the first derivative of g(v). Factor p(m).\nAnswer: 2*(m + 50)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 17 = 5*b. Let q(c) = 2*c**3 - 3*c**2 + c - 1. Let k be q(2). Solve -b + 12 = k*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 156\/36 + 1 + (0 - (-4)\/6). Solve 4*x = x - l - u, -3 = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.069077 and 4.\nAnswer: 4.069077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.06 (c) 328 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or -42?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2. Let n(t) = -1419*t**2. Give x(n(q)).\nAnswer: 22149171*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - 0) + -23 - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022210 - 20210?\nAnswer: -2120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(32) + sqrt(36)\/(sqrt(48)\/sqrt(4)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 681*s**2 - s. Let p(q) = -14*q - 30. Let w(g) = 2*g + 5. Let l(n) = -p(n) - 6*w(n). What is z(l(t))?\nAnswer: 2724*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 8*b + 10. Let t be m(-5). Suppose t = 39*f - 42*f + 123. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -50. Which is the nearest to k? (a) -2\/9 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 582 + -578. Sort 1, -9, 2, q in decreasing order.\nAnswer: q, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2790)\/75)\/((-2)\/5) is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*m**5 + d*m**3 + 8468*d*m - 222*m**5 wrt m.\nAnswer: 120*d*m**3 + 6*d*m - 4440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-22)\/(220\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -14, -34, -82, -170, -310?\n\"Answer: -2*v**3 + 4*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 4. Let x(v) = 610*v - 23. Determine 6*j(b) + x(b).\nAnswer: 616*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(2560)\/sqrt(8).\nAnswer: 5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7 - 33. Let k = -13 + n. Does -3 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177360?\nAnswer: 2, 5, 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 - 9*d + 21. Let s be a(4). Suppose -2*t = -0*t - 26. Calculate the greatest common factor of s and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-217141698268144\nAnswer: -217141698268145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(252) + -2*sqrt(252))**2 - (sqrt(252) + (0 + sqrt(252))**2 + sqrt(252) + 4 - (sqrt(252) + (sqrt(252) + 3 + sqrt(252)*1)**2)))*4.\nAnswer: -2004 + 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/13, 3, -0.4, -4, -3\/28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.297 - -0.397. Which is the second smallest value? (a) r (b) -1\/11 (c) -11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/(-144) - 760\/(-6)) + -10. Calculate the greatest common factor of 8658 and l.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b982 + 2?\nAnswer: -1b980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/40 - 7*s**3\/6 - 3*s**2. Find the first derivative of b(n) wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + k + 24. Suppose 4*l = 5*x - 24, -k*l + x = -2*l + 12. Let v(n) = -4*n**3 - 7*n**2 - 3*n + 5. Is v(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 - 1816*s**4 - 165264*s**3 + 1035488*s**2 - 2100352*s + 1410048 = 0?\nAnswer: -324, -136, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3523602 rounded to three dps?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(((-32)\/40)\/(-4))\/(4\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/99*3)\/((-1368)\/(-1254)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(792))\/(sqrt(11) - 1*sqrt(1100)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyy. Give prob of sequence jyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 14) to base 13\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(g\/(g*g*g*((g*g**(1\/4))\/g)\/g)))\/g*g)\/g**(-1\/4))\/((g*g**3)\/g*g**(2\/7)*g)*(g*g**6*g**(4\/11)*g*g*g)**(-9\/8) assuming g is positive.\nAnswer: g**(-3525\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 - -169. What is the third smallest value in 6, -3, -2\/3, i, -317?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7 = l - 7, 3*x + 8 = 2*l. Let o be ((-22)\/(-4))\/((-2)\/x). Let n be 2 - 1\/(4\/o). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 31*p**6\/30 - p**5\/10 + p**4\/2 + 7*p**3\/3 - 7*p**2\/2 + 196*p. What is the second derivative of c(s) wrt s?\nAnswer: 372*s**2 - 12*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:19 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-266)\/(-76))\/(1\/2). Let f be (-61)\/t + 10\/(-35). Let m(q) = -q**3 - 8*q**2 + 7*q - 4. Calculate m(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5\/3 - 20*c**3\/3 + 10*c**2\/3 + 5*c - 10\/3.\nAnswer: 5*(c - 1)**3*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 79d3?\nAnswer: 79d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(448))\/sqrt(8))\/(3*(sqrt(2) - sqrt(2)*-3)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j = 47*j + 3. What is the second smallest value in j, 4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31071\/2 + 15544. Let g(w) be the first derivative of 0*w - 19\/5*w**5 + 0*w**3 + 0*w**4 - 1 + d*w**2. What is the second derivative of g(o) wrt o?\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*p**2 + 170*p**2 - 86*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -89?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(468) - (((sqrt(13) + 1 - sqrt(13)) + -2)*3)**2.\nAnswer: -6*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose f = -0*g + g - 3. What is the second derivative of -g*h**3 - h - h + 3*h - 4*h wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 12. Suppose -6*t + 2*t + k = 0. Suppose -3*p = -t*c + 3 - 1, c = -5*p + 14. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 270 = 41*b. Suppose 0 = k + 8 - b. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a**2)*(-10 + 15 + 3)*(2*a + 0*a - 4*a) - 1093*a**3 + 2680*a**3 - 581*a**3.\nAnswer: 1022*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 1\/11, 592, -5, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 152 and -1.09.\nAnswer: -165.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -303*o**3 - o + 3 + 80*o**2 + 302*o**3 - 75*o**2 + 3*o. Let u be (2 - -1) + 33\/3. Let m = u + -8. Determine f(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13311 - -10?\nAnswer: -13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -34*r + 4393. Give p(127).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from illlullilmlulmim?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*((sqrt(175)*2 - sqrt(175)) + -5 + 0 + 1*sqrt(175)).\nAnswer: -40 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 + 15*n**2 + 8*n + 11. Let i be v(-7). Which is the fourth biggest value? (a) i (b) 4\/7 (c) -0.4 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2741648*d**2. Let h(v) = -2*v. What is s(h(n))?\nAnswer: 10966592*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, q: 4}. What is prob of picking 3 i and 1 q?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(637) + (sqrt(637)*1 + 1 - sqrt(637)))**2 - (5 + (-4*(1 + sqrt(637)))**2)).\nAnswer: -12767 - 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 3. Let n be a(0). Let h(l) = -l**3 + 6*l**2 - 6*l + 6. Let i be h(5). Sort n, 4, i in ascending order.\nAnswer: i, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vujujjujvvujauouaau. Give prob of picking 2 v and 1 o.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 112 = -z + 3*z, 6 = 2*n. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31601*y + 31601*y + y**3 - 110*y**2 - 13*y**2 - 2*y**3.\nAnswer: -y**3 - 123*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0657, 24, 2\/5?\nAnswer: -0.0657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 27 + 11 + (1 - -4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42942843.\nAnswer: 3, 31, 149, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*r - 51870 = 628*r for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 9*u + 2*o + 18571 = 0, -u + 6162 = 5*o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 25, 2*w + 562 = -6*p + 1117 - 613 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g + 5. Let z(j) = 17*j**2 - 71*j + 93. Let p(w) = -38*v(w) - 2*z(w). Find t, given that p(t) = 0.\nAnswer: -47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(28) - (sqrt(28) - (sqrt(3388) - (sqrt(3388) + 3))))**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -387 + b464?\nAnswer: b0aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 94067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1895174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u**(-4)*(((u*u**(1\/10)*u*u)\/u)\/u)\/(u*(u*u**(2\/3)\/u)\/u) assuming u is positive.\nAnswer: u**(-257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -18*c**2 + 722*c - 722. Let z be k(1). Let d(x) = 3*x - 11. Give d(z).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000272 divided by 5496?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54 - (1 - -1) - -4. What is the second derivative of -16*m - 66*m**2 + u*m**2 - 11*m wrt m?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868590 is divided by 173704?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 5 + 4 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22428 divided by 59.\nAnswer: -22428\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220679782*c**5 - 25*c**2 - 1985999*c wrt c?\nAnswer: -13240786920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.7. Let u = b - -0.2. Let j = u + -0.49925. What is j rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let a = 221 - 158. Let l = a + -67. What is the third smallest value in b, -3, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0678 in 3.4, 0.1, 3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -2, -19610\/11, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 20. Suppose 0 = 2*x - 3*g - 12, -2*g = -0*g + 8. Does 10 divide w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62985487529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2696 - 2696 - 2*z. Let x(a) = 165*a**2. Determine x(y(u)).\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((-3424)\/(-96) + -32).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c + 61. Let u be w(-5). Let l(r) = 3*r**3 + 2*r**2 - 3*r + 2. Let d be l(u). Solve -12 = 2*x - 2*p, -3*x + 4*p = -d*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0247 + 0.4753. Which is the nearest to 0? (a) t (b) 253 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*c - 2*p, 0 = p - 0*p - 1. Let b(o) = -o**2 + o + 2. Let m be b(c). Let j(t) = -3*t**2 + 6 + t**3 + 6*t + m*t**2 + 7*t**2. Determine j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -259.4868.\nAnswer: 493.02492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11815.861+-0.5\nAnswer: -11816.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5515, -17736, -38105, -66622, -103287, -148100?\nAnswer: -201061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (-4)\/(-1) - 8. Solve l = -s - 1, 4*l = n*l + 3*s + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, k: 1, o: 1, q: 1, v: 1}. Give prob of sequence ovm.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - o + 229 = 59, -3*o = -5*k + 150. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60541*l**2*u**2 + 2*l**2*u + 6442*l*u**2 + 3*l*u + 4*u wrt l?\nAnswer: 121082*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 50. Let g be l(9). Suppose 2*u = -g*u + 116711. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6277 * -0.4.\nAnswer: 2510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 3)*(-3 + 0 + 4) - 2 + 4 - 3)*(k - 4 + 4).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*y - 1145 = 0, 4*j - 2*y = -j + 5761. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 3. Let g(v) = -7*v + 5. Let f be 1*(-3)\/3*5. Let b(u) = f*c(u) + 3*g(u). Give b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/5007?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 12) to base 8.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (95\/3 - -9)\/((-2)\/(-25500)). What is s rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from {v: 2, r: 3, b: 1, m: 1, l: 3, p: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -177081957 divided by 1053\nAnswer: -168169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/236106 and -47\/157404?\nAnswer: 472212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2311*p**4 + 405*p wrt p.\nAnswer: 27732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/3 + 20*j**2\/9 - 16*j\/9 - 16\/9 = 0. What is j?\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13960884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 178*h**2 - 2312*h + 2864. Determine w(164).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130095.\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/90666 and -121\/392886?\nAnswer: 1178658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 divided by -5.\nAnswer: 223\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**5\/7 - 3426*h**4\/7 - 507468*h**3\/7 - 747840*h**2 - 1209600*h = 0.\nAnswer: -280, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10669 and 4767.\nAnswer: 224049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, w: 3, q: 7, b: 3}. What is prob of picking 1 h and 1 w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20142 equal to 80569\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126352 and 954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -9a7?\nAnswer: -9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t + 96 = 72*t. Let m(q) = -3*q**2 + 10*q. Let o(v) = -6*v**2 + 19*v. Give t*o(b) + 7*m(b).\nAnswer: 3*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573980711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 16 = j, -798*x + 801*x = -j - 68 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.27159 * -4\nAnswer: -9.08636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (211 - (2 - 5))\/(-2 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2446305 (base 9) to base 8.\nAnswer: 5045430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15925723537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and 0.58.\nAnswer: 0.01276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -130 - -56ab8?\nAnswer: 56988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let i(x) = -572*x. Calculate i(w(b)).\nAnswer: -572*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62945 is divided by 119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/((-3)\/8*-4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6616 + 6616. Solve k = 244*w - 239*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 39. Let r be (t - 0 - -2)\/((-1)\/(-6)). Let u = 5 - 3. Solve u*k + r = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1284 (base 14) to base 9.\nAnswer: 4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/150501 and -7\/347310.\nAnswer: 4515030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 1. Suppose s + 2*s = 3. Does 2 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3744 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53671016 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3570, 6, -3 in decreasing order.\nAnswer: 6, 2, -3, -3570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 410, 416, 422?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23806*f - 246 + 246 + 23812*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 + 2*x**3 - 7*x**2\/2 + 10*x - 1. What is the remainder when w(-7) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 2*m**3 - 5*m**3 - 187*m + 315 + 5*m - 314 to the form l*m**3 + a + t*m**2 + v*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 2*n**2 + 4*n - 3. Let m be u(2). Let q = 4 + -7. Let l be 0*(-2 + (-9)\/q). Solve l = 5*j - 25, 4*r - 5*r = 3*j - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rxjxrrrxxrxrr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64907*d - 119 with respect to d.\nAnswer: 64907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from oddobgdbddodbppopbpd.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*l - 1750. Suppose -l = -6*u + 13*u. Let x = 143 + u. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-6)\/(-12))\/(-1)*(-130)\/(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + b**2 - 3*b**2 + (-5 + 3 + 6)*(4*b**2 - b**2 - b**2) + 0*b**2 - 4*b**2 + 2*b**2 - 2*b**2 + 2*b**2 - b**2)*(-6*b - 6*b**3 + 6*b).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.028 + 10.5. Let o = x + 0.47. What is o rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g. Suppose -2*n = -332 + 240. Suppose 4*u - 236 = 120. Let r(h) = -43 + u - h - n. Determine v(r(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1275*u**2\/2 + 450*u + 48.\nAnswer: -3*(5*u - 4)*(85*u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27830)\/(-80) - (-4)\/32. Suppose 340*k - r*k + 1680 = 0. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*f**2*g**4 + 22*f**2*g + 5556*f*g - f - 26738*g**4 + g**2 wrt g?\nAnswer: -384*f**2*g - 641712*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701848171?\nAnswer: 3, 11, 1061, 77167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5\/7)\/((-1)\/((-21)\/12))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 2*h + 8*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 80 = -6*c. Let j = c - -8. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t. Let x(r) be the first derivative of 8*r**3 + 33*r**2\/2 + 671. Give 66*p(m) + 2*x(m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7358 divided by -1.\nAnswer: -7358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*y + 681 - 59 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822749567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4446 + 9617. List the prime factors of a.\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3749 = 449*d + 3435 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1545 is divided by 92.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let n = 1.4 + -0.4. Let o = u + n. Which is bigger: o or 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 230885\/105 + (-1)\/(-6). Let s = x - 2193. What is the common denominator of 79\/20 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 4.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -4) + 1150 + (5 - 1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 + 141. Let y be ((-3)\/2)\/(2\/(-52)). Let u = y + i. Calculate the highest common divisor of u and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5976 + 762*g - 5976)*(3*g + g + 2*g)*(2*g**3 + g**3 - 4*g**3).\nAnswer: -4572*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10706 - 7908. Is l bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*h**3 + 305*h**3 - 91*h**3.\nAnswer: 112*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -1.2. Let y be 153\/9 + 4 - 5. Let r = -0.3 + -0.2. Sort y, f, r in decreasing order.\nAnswer: y, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 102*s**2 - 23*s + 161. List the prime factors of a(7).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.92 + -13. Let u be (6\/(-15))\/(-1 + 3). What is the smallest value in u, 4, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-35)*(-20)\/(-6)*6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 13. Let f be 3\/k - (-630)\/24. Let r(j) = -j**3 + 18*j**2 - 19*j + 36. Let y be r(17). Solve 3*z - 3*b + f = 0, -2*z + y*b = -7*z - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 4*a. Let j(c) = 2*c + 1. Let s(x) = -3*x - 1. Let o(q) = -5*j(q) - 4*s(q). Let n be o(2). Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103*d**4*f**2 + 1066*d**4 - 84*f**2 + 1904 wrt d.\nAnswer: 412*d**3*f**2 + 4264*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - -1. Let y = 155 + -27. Let a = 128.5 - y. What is the second biggest value in x, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 720858*g**3 - 472508*g.\nAnswer: 4325148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*v**3 - v**2 + 152*v?\nAnswer: -636*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -8, 0, 14, 28, 36?\n\"Answer: -j**3 + 12*j**2 - 33*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 9*c - 6 = 0, -5*z + 622*c - 32 = 618*c for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -d - 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11977.\nAnswer: 7, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1102262 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028013 rounded to four dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -34, 0.2, 3, -2\/15 in ascending order.\nAnswer: -34, -2\/7, -2\/15, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 - 96. List the prime factors of y\/(-10) + (-7154)\/(-70).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + q = 5*l + 36, l = -5*q + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 8 - 8 - 6*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12825*g - 25. Let j be o(-3). Round j to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 936*g**2 + 747*g - 6. Let m(v) = -945*v**2 - 747*v + 5. Let n(q) = -6*m(q) - 5*x(q). Find the second derivative of n(j) wrt j.\nAnswer: 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494419153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:41 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 7859.\nAnswer: -88\/7859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -172.8. Let v = -1.9 + s. What is the nearest to 1 in v, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1357, 2661, 3913, 5119, 6285, 7417?\n\"Answer: d**3 - 32*d**2 + 1393*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532*p**2 + 23*p**3 - 1532*p**2.\nAnswer: 23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -21 - (5 - 4) - 2) + -5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 48 - 0. Suppose 3*h + h = 8, 22 = 4*g - h. Suppose y*z + g = 14*z. Solve -2 + 17 = z*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -6. Let p(u) = -u**2 - 11*u + 12. Let b be p(-12). Suppose 0 = -3*d + 2*o + 6, b*o = o. What is the smallest common multiple of d and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2925 and 78000.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/l**(-2\/25))*l)**(-3\/16))**25 assuming l is positive.\nAnswer: l**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2236? (a) 1 (b) -6\/5 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -7. Let y = w + 6. Which is the third smallest value? (a) 1 (b) -1\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-329600)\/75)\/(-103)*(6\/4)\/(-1).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1295, 40 in descending order.\nAnswer: 1295, 40, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, q: 1, l: 1, b: 12, w: 3}. Give prob of sequence mb.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -173\/186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.02 (c) 5 (d) -22622 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/29))**(-26) assuming q is positive.\nAnswer: q**(-52\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 5, -149 in increasing order.\nAnswer: -149, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/100 + b**4\/20 - b**3\/3 + 43*b. Factor x(n).\nAnswer: n*(n - 2)*(n + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59699099*r**5 + 924178*r**2 + 3 wrt r?\nAnswer: 3581945940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 2. Suppose -16 = -7*c + 4*c + s, 29 = 5*c - 4*s. Let u(i) = -5*i - 2. Let f(v) = -v. Let l(q) = -3*f(q) + u(q). Calculate c*z(x) - 6*l(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q + 343*u - 344*u - 83, 5*u + 40 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(2299)*5 + 4 - ((3*(sqrt(2299) - (-2 + sqrt(2299))))**2 + (-3*(-1 + sqrt(2299)))**2 + sqrt(2299)).\nAnswer: -20737 + 297*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -81983\nAnswer: 122974.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494502 is divided by 496.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -407 - 63 + 1227*o**4 + 82 - 493*o**4 - 212 wrt o?\nAnswer: 2936*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 31 + 2*k**2 + 2*k**2 + 12.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + p)*(2 + 1 - 2) + 2*p - p - 8*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/4 - 223500*i + 16650750000 = 0. What is i?\nAnswer: 149000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4c730b1?\nAnswer: 4c730b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 552034 and 552032 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 81*y**2 - 31*y + 184. Is w(6) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 q when three letters picked without replacement from ixpeixxipqxq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 695376*h**3 + 1233056*h wrt h.\nAnswer: 4172256*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -130, 4, 5, -2 in decreasing order.\nAnswer: 5, 4, 0, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/319, 0.019, -64.4 in decreasing order.\nAnswer: 20\/319, 0.019, -64.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/20 - c**4\/4 - 2*c**3\/3 + 2*c**2 - 97*c. Let n(w) = w**2 - 4. Let r be n(4). Let d = r + -8. Give t(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 18*c + 54. List the prime factors of d(-12).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**16*(x*x**(-1\/2))**20 assuming x is positive.\nAnswer: x**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 759*b - 2715 = 2223 + 1893 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 9*a = 38 + 10. Suppose 3*m = -m - 8. Let f be (-1)\/((-2)\/12) + m. Calculate the greatest common factor of f and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5950, 5944, 5936, 5926, 5914?\nAnswer: 5900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*r = 133*r - 10872. What is the highest common divisor of 151 and r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 135.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.287225t?\nAnswer: 8287225000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 56621 = -2*l, -37*c + 40*c + 3*l - 56622 = 0. What are the prime factors of c?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/22 - 150\/(-22). Suppose 0 = -c*m + 2*m + 4*b + 120, 0 = -m - b + 15. Let t(a) = 22*a - 10. Calculate the lowest common multiple of m and t(2).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -695, -2879, -6555, -11723?\n\"Answer: -746*u**2 + 54*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, t: 4, s: 1}. What is prob of picking 3 r?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -18 - (-18)\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let z = 50 - 35. Solve 5*k + c = -0*k - z, 0 = -g*k + 5*c + 21 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3, 2 in descending order.\nAnswer: 2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31691843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 3 = -r + h, 3*h - 9 = r. Solve j - 2 + 6 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let d(j) = -19*j - 2. Let s be d(w). Suppose 6*k = 4*k + s. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43081650?\nAnswer: 2, 3, 5, 95737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*f = -10, -5*x - 4*f = -f - 25. Suppose 4*c = 4*a - 45 - 203, -c = -x*a + 322. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*0\/1. Suppose 3 = -l + 4*t + 1, -2*l - 2*t + 6 = x. What is the second derivative of -i - i + l*i**5 - 3*i**5 wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -111*b**2 - 1. Suppose -11*f - 90 = -123. Let r(p) = 6*p**2 - 4. Let j(k) = -4*k**2 + 3. Let q(s) = f*r(s) + 4*j(s). What is q(z(d))?\nAnswer: 24642*d**4 + 444*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1516959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 11*m. Give b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 - 21*m + 252. What are the prime factors of k(29)?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537*d - 1140 + 66 = 0. Suppose 3*i = z - 17 - 14, 5*z + 21 = -i. Suppose 4*v + 0*v + 1 = -w, -4*v + 4 = -4*w. Put w, 4, d, i in descending order.\nAnswer: 4, w, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 + 3*n**2 - 4. Let p(j) = -8 + 8*j**3 - 5*j**2 + 8 + 7. Suppose -13*m = 78 - 143. Determine m*d(u) + 3*p(u).\nAnswer: 4*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -15*h**2 + 34*h + 419. Let p(v) = 4*v**2 - 9*v - 105. Let o(g) = 22*p(g) + 6*u(g). Let c(a) be the first derivative of o(a). Determine c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1756300 to the nearest ten thousand.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 40*j - 78 = -52*j. Let n(i) = -34*i**2 + i - 11. Let m(x) = -7*x**2 - 2. Calculate j*n(g) - 11*m(g).\nAnswer: 9*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, 2, 0.\nAnswer: -26, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*a + 23 - 526, -2*x = 2. Suppose 3*r = -i + a, 2*i + r - 177 = 82. Suppose 5*l + 5*z - i = 0, l = -l + 5*z + 24. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:23 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -492*b**2 + 15*b + 5. Let r be o(-2). Let a = r + -1289. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-266)\/(-5) + 21\/35. Let p = 54 - a. Determine m so that 0*m + 0 + p*m**4 + 1\/5*m**2 - 2\/5*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5123 divided by -10?\nAnswer: 5123\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 15*u + 20.\nAnswer: -5*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 5*t**2 - 5*t**2 + 12 - 10*t + t**2 + 30*t. Let f be a(10). Solve 2*l - f = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11\/5)\/m**(-5))\/((m\/m**(-28)*m)\/(m\/((m**(-1\/32)\/m)\/m))) assuming m is positive.\nAnswer: m**(-3867\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164863 - 164863 - 97*t)*(6 - 4 + 2).\nAnswer: -388*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16888)\/14*(-19 + -23)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - (-77)\/35. Determine k so that 28*k**x - 13*k**2 - 10*k**2 - 10 - 5*k = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 8, -18.\nAnswer: -36, -18, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/147 + 139\/588. Let t = -2\/109 - 87\/1199. Let i = 15 - 14.9. Put t, z, i in ascending order.\nAnswer: t, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -17476812\nAnswer: -17476820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 5 + 5)*(c + 3*c + 10*c) to the form r + g*c + l*c**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5115 + 8639. List the prime factors of w.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:23 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 3*d - 3*d + (5 - 5 - 2*d)*(5*d + 7 - 7) in the form c*d**2 + o + b*d and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + t + 2, -3*z = -5*t + 3 + 1. Let j be -1 - -1 - z - -5. Suppose i = -0*c + 2*c + 8, 4*c = 5*i - 16. Solve -j*b + i*b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/27)*s**(-5\/6)\/s assuming s is positive.\nAnswer: s**(-103\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 5. Let w be (-19)\/7 + (-6)\/21. Let s be t(w). Let z = s - -12. Calculate the least common multiple of z and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + -2)**2*6.\nAnswer: -120*sqrt(13) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aaa - -3?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.0666 * 0.1\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12930.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/3, -4, -2\/9, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-1 - 3) + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/(-7525)*28\/(-6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-10))\/(((-21)\/30)\/(-7)). Let v(j) = -j**3 - 17*j**2 - 32*j - 18. Suppose -3*d - 2*d + 35 = 0. What is the remainder when v(s) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.7 + -31.7. Which is the second biggest value? (a) -3 (b) 4 (c) i (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2\/81 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 + z + 4. Let y be h(-3). Let t = 488 - 496. Let r be (y\/(-4))\/(5\/t). Is r at most -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469 + 563. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 63. Let d be (-567)\/g + (-18)\/(-10) + -2. Find the common denominator of -43\/9 and -1 + 3 + d\/54*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 397 - 335 - (4 - 4).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*g + 2. Suppose -6*w + 2*w + 392 = 0. Suppose -w = -5*r - g. What is the lowest common multiple of 12 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-16)*(-276)\/(-483)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59714 by 146.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*p = -1329 - 1455. What is the common denominator of p and 103\/3060?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 29*m**2 - 75*m + 1. Let o = 60 + 29. What is the remainder when o is divided by v(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**7\/30 + 7*u**3\/6 + 9*u**2 + 39*u. Let h(t) be the first derivative of o(t). Find the first derivative of h(m) wrt m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -184, -273, -356, -433?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 2*x - 3*x)*(-3*x - 4*x**2 + 2*x + 1 + 0) to the form v*x + f*x**3 + q*x**2 + k and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -3*g - 76. Solve 5 = -r + 4*w - 12, 5*w - g = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + l - 4*l - 15505 = 0, 15505 = 5*a - 2*l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/38)\/((-11184)\/283328)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2a?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffzffffffzf. Give prob of sequence ffz.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*w. Suppose 1 = -2*z + 5, 0 = 3*n - w*z - 8. Suppose n*g - 30 = -g. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 3 - (-155 - -82)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 w when three letters picked without replacement from qewjnenneeneeenennne?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 5*c - 6. Let h be m(5). Is (4\/6)\/(h\/(-135)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppph when four letters picked without replacement from pphpppppppphp.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16806173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-30))\/((1467\/900)\/(-163))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/22197 (b) 5 (c) -0.4 (d) 1\/2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -14. Let f = -169 - -172. Suppose r - m = -f*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 2*c = -33*o - 124, -79*o - 2*c - 3*c + 4814 = 0 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in 0, 0.4, 14\/16449, -2\/15, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**(-3\/17)\/(c\/(c**(-8)\/c)*c**6) assuming c is positive.\nAnswer: c**(-260\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhe when three letters picked without replacement from egfhq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -5. Suppose 5*y = a*y + 7. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 362 + 4?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 193 = -l - 5*v, 0 = -l - 3*v + 196. Suppose 5*s = -2*a + 2*s + l, 2*s + 92 = a. Suppose 0 = -3*q + a + 10. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 91, 89, 87, 85, 83?\n\"Answer: -2*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (597220\/(-364) - -55)\/((-1)\/35) a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642 by 2.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 229 = n, 2*j = -3*j - 3*n + 1143. Is 57 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (0 - (2 - 1)). Suppose -h*c = 35 - 261. Calculate the remainder when c is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1953?\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/8, -1\/29, -0.4, -1.2 in ascending order.\nAnswer: -1.2, -0.4, -1\/29, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 12. Suppose -q - 2 = 3, 3*t + 13 = q. Let m be p(t). Let z = m - 6. Solve 2*f - 3*g + 0 + 3 = z, -4*f = g - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a - 35. Let h be g(10). Calculate the greatest common factor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 39330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 13, 0.01, -5\/21?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -17\/2 (c) 15.834\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2055*v - 219820. What is f(-107)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by 16.\nAnswer: -113\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -63 (b) 9936 (c) -0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. What is the remainder when 5 is divided by (-1 + (-6)\/(-3))*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 2, n: 1}. Give prob of sequence bbn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1450320.000015 + 1450311. Let t = 9 + u. Round t to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from {y: 4, x: 6, n: 3}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013210288 is divided by 5913.\nAnswer: 5912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892200 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*i - 108*i + 1630*i + 390*i.\nAnswer: 2137*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 + 4 = 0. Which is the closest to q? (a) 2\/5 (b) 1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2\/9 - 1252814*g\/3 + 1879222\/9 = 0.\nAnswer: -939611, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20769 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/5 + r**4\/12 - r**3\/3 + 2*r**2 - 14*r. Let j = -33 - -35. Does 22 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*w**2 - 6*w**2 - 7*w**2 + 19*w wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i - 186 + 37*i + 86 + 189*i + 101 to w + b*i and give b.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-6\/7)\/(q**(-1)*q)**(-41))\/(q*q*q\/(q\/(q\/q**(3\/2)))*q**(-1\/3))**(-8) assuming q is positive.\nAnswer: q**(214\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/12 - (-6)\/8. Let u = -182.01 - -177. Let w = -0.01 - u. What is the biggest value in 3, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7331, 107, -1\/3 in increasing order.\nAnswer: -7331, -1\/3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 - 4*c - 2. Let h be y(5). Suppose p + 6 = h*j - 1, 5*j - 4*p - 14 = 0. Suppose -110 = -j*i - 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*-6 + 0. Which is the closest to -1? (a) 2\/11 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - 4 + 4)*(-2*b + 5*b - 5*b) + 523*b**4 - 1136*b**4 + 439*b**4 + (-6 + 2 - 2*b + 2)*(3*b**3 - b**3 + 0*b**3).\nAnswer: -180*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*o**2*v**3 + 7*o**2*v + 8*o*v**3 + 22*v**2 wrt o.\nAnswer: -72*v**3 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34.3 in -2\/3, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 4*t**3 - 4*t**3 - t**5 + 4*t - 4 + 0*t. Differentiate r(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13897 to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 12 = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103*q**3 - 311*q**2 - 40*q + 124787210 wrt q?\nAnswer: 309*q**2 - 622*q - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2 (b) 0.1787 (c) 3\/2 (d) -31\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*c**5 - 10*c**3*y**2 - 2*c*y**2 - 4844*c + 6*y**2 wrt c.\nAnswer: -1320*c**3 - 60*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15826 or -13762?\nAnswer: -15826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + (8 - 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79193, 316754, 712689, 1266998?\n\"Answer: 79187*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzyzwwzwzzwwwwwzzzz. What is prob of sequence zwz?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 15, -1872 = -3*d + 4*p + 220. Differentiate -704*b + 14 + d*b - 4*b**4 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 144?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518360.\nAnswer: 2, 5, 19, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 12*y - 13. Let g be h(-15). List the prime factors of (-4)\/g + (-9)\/(-8) + 95.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -9\/4*w**4 - 3\/5*w**5 + 0*w - 3\/2*w**2 - 3*w**3 - 8. Let y(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10564 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16193442*u**3 + 9195*u**2 + 2*u - 22 wrt u.\nAnswer: -97160652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125391978 or -125391977?\nAnswer: -125391977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -47*x. Let v(h) = 41*h**2 - 30*h**2 - 13*h**2. Determine s(v(u)).\nAnswer: 94*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 28*k**5 + 195*k**4 - 16753*k**3 + 33064*k**2 + 36*k - 2320 = 0?\nAnswer: -29, -1\/4, 2\/7, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (80246\/(-28)*2)\/(168\/(-49)). Let h = -1674 + g. Calculate the common denominator of 127\/150 and h.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 760\/228*(-69)\/230.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 3*s + 897 = 0. Suppose -4*j - 3 = -s. Calculate the lowest common multiple of j and 93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42524 or 2?\nAnswer: -42524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14804, -59079, -132862, -236147, -368928, -531199?\nAnswer: -722954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-12 - 22 - -18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 3429205.\nAnswer: -1714602.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 1\/2, -5, -0.4, -1447, 21.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -133 + -2d?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 - 297712?\nAnswer: -297716.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 1015 - 1009 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(1\/(-8)). Let w(x) = x. Let t(i) = 2*i. Let p(l) = m*t(l) + 9*w(l). Let o(z) = -z. What is o(p(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*b + 51*b + 25641. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201261, -201266, -201275, -201288, -201305?\nAnswer: -201326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k**(-32))\/k)\/k)\/k**33*(k\/(k\/k**(1\/17)))\/(k\/((k**(-3\/11)\/k)\/k)*k) assuming k is positive.\nAnswer: k**(-12943\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 42, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let a(i) = -i**2 - 11*i - 13. Let l be a(-10). Let b be 2\/(l\/54*-3). Solve k*g + 8 = -4*n - 12, 0 = -4*g + 5*n + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8)*3\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12\/7, -1, 0.01, 5\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 14*o**2 + 2*o - 10. Let q = -14 + 24. Calculate the remainder when q is divided by l(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/5033 and 67\/6321448.\nAnswer: 6321448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 7*b + 16. Determine d(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 987095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.719 to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/8*322\/(-7))\/(332\/(-2656))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -s, -2*n - 3*s = 2*n - 16. Suppose n*c = 1 + 11. Solve -2*p - 1 = -c*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 13. Suppose 3*l - 7*l + 16 = 0. Let y be (-3)\/(-4) + (-27)\/l. What is the units digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2 = -22. Let l be h\/26 - 14\/(-78). Let v = -13 - -9. What is the third smallest value in l, -5, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456800364 to the power of 1\/3, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/113955 and 97\/240.\nAnswer: 1823280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*v + 2*v, -u = -5*v + 12. Suppose u*o + 74 = 314. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/231)\/(6\/(-42)*(-1)\/(-1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19*u - 22*u - 9 = 0, -5*u = 4*o - 29. Solve 3*r + 2*r + 24 = 2*s, 3*r = -3*s - o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60474377*t**5 + t + 101734?\nAnswer: -1209487540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = x - s + 158804, -s + 476348 = -3*x. Let j be (-3 - -7) + x\/24. What is j rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 3, t: 6, a: 2, z: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10024370630997949\/5331601464 - 13\/761657352. Let b = -1877641 + p. Let l = 2540 - b. Calculate the common denominator of l and 27\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -987, -1947, -2905, -3861, -4815, -5767?\n\"Answer: o**2 - 963*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27062 + 98889 = 31*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsbnfwf. What is prob of sequence sbn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:28 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**3 + h**2 + 13866*h - 114330 wrt h?\nAnswer: 3*h**2 + 2*h + 13866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k + 11. Give w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, b: 1}. Give prob of sequence ng.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224640 divided by -4?\nAnswer: 306160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -103059152 and -0.242.\nAnswer: -103059152.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3965, -4041, -4217, -4493, -4869, -5345, -5921?\n\"Answer: -50*j**2 + 74*j - 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -0.4, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, 5, -4, 2 in descending order.\nAnswer: 24, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15809, 31613, 47417, 63221?\nAnswer: 79025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13232130102 + -12223?\nAnswer: 13232111213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -33, -102, -225, -420?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 - 6*t - 6. Let f(o) = -5*o**3 + 2*o**2 - 9*o + 7. Let h be (3\/(-6))\/((-10)\/20). Let y be f(h). Calculate q(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 11 + -1 + 5. Solve 2*t = 5*w - 6 - p, 2*t = w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*l = 21893 + 178 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 45, 1 in decreasing order.\nAnswer: 45, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2160*k**2 + 2 - 1 + 25*k - 627*k**2.\nAnswer: 1533*k**2 + 25*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -833, -786, -729, -656, -561?\n\"Answer: a**3 - a**2 + 43*a - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 + 78*i - 8. Calculate the remainder when j(7) is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**3\/8 - 3*g**2\/2 + 3*g\/2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12772*u - 3885*u + 595429 = 0 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4 + 9 - 7*p**2 + p**3 + 2*p**2 + 4*p. Suppose 0 = -53*b - 50*b + 90*b - 65. Let j(l) = -l**3 + 6*l**2 - 5*l - 6. What is b*y(g) - 4*j(g)?\nAnswer: -g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1355*2\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 56 = -5*i. Suppose 4*j + 1203 - 680 = 611. What is the remainder when j is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21549, -21553, -21559, -21567, -21577?\nAnswer: -21589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*l - 11*l + 14*l + (l - 2 + 2)*(-1 - 1 + 0) + 6*l + l + l)*(5*l + 2*l - 5*l).\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 1, -1751.\nAnswer: -1751, -12, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 109*f**5\/15 + 1277*f**4\/12 - 2*f**2 + 258*f. What is the second derivative of m(w) wrt w?\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501206 (base 7) in base 3?\nAnswer: 11021212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-24)\/(-88)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**3\/11 + 287648*d**2\/11 + 10553917800*d\/11 + 15112765075104\/11 = 0.\nAnswer: -71166, -1492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567040780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573276?\nAnswer: 2, 3, 11, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/(-21) - ((-64)\/84)\/(-8). Factor 1\/2*j**t - j + 1\/2.\nAnswer: (j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 12, 4*y + 70 = -3*p + 10. Let g = p - -13. What are the prime factors of (-2)\/g + 20\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtvovtmtmtvt. What is prob of sequence to?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, -3 in descending order.\nAnswer: 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29192272 is divided by 12486.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -47*p - 12. What is c(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.316 + 0.016. Which is the fourth biggest value? (a) 2 (b) v (c) 0.5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-92)\/((-4784)\/(-988)) + 1405\/74)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -7, -44, -109, -208, -347, -532, -769?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/6 and -101\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -14 - 15. Suppose 49 = v*d - 30*d. Let k = -199\/4 - d. Which is the third biggest value? (a) 2 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-1388)\/(-20). What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2. Let o(w) = w**2 - w. Let c(a) = 48 - 48 - 6*a**2 + 3*a. Let r(l) = 2*c(l) + 6*o(l). What is x(r(m))?\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + 111\/(-4). Let f be (-7)\/28 - 114\/(-4). Let l = y + f. Is l bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:23 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + -2*sqrt(1053)) + 2)**2 + (0 + sqrt(143)\/(1*sqrt(11)) - (sqrt(5616)*-2)\/sqrt(3))**2.\nAnswer: 3456*sqrt(13) + 160013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.1. Let h = 0.5 + y. Let g = -2 + h. Is -2 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604 by -619.\nAnswer: 604\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 0*x**2 + 2*x**3 - 3*x**3 + 7 + 2*x**2 - 2. Let g be h(0). Suppose g*y + 59 = 374. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139062959, 278125918, 417188877, 556251836, 695314795?\nAnswer: 834377754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286.000181 - 286. What is a rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2509 + -2507. Let q(b) = -11*b - 1. Let o(x) = -x. Determine p*q(n) - 18*o(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 451 and 533.\nAnswer: 5863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8605 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214*d**6 - 47*d**2 + 2*d wrt d?\nAnswer: 25680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 290? (a) -0.3 (b) -1\/3 (c) -0.1 (d) -11 (e) 0.1416\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3107 + -3023. What is the lowest common multiple of w and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378924 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1323 + 2?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/7, -1.4, -4, -3\/8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19196, -19357, -19524, -19697, -19876, -20061?\n\"Answer: -3*w**2 - 152*w - 19041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.072 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 2*i**2 - 11*i - 18. Let y be b(5). Solve -y*w = -2*p - w - 10, 3*p + 3*w + 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 540*o**4 - 5065*o**3 - 16390*o**2 - 21660*o - 9800 = 0.\nAnswer: -98, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388766 or -388543?\nAnswer: -388543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**3 + 11 + 255*x**2 - 15*x - 259*x**2 + x**3 - 5*x**3. Calculate i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502 (base 9) in base 15?\nAnswer: -50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 257072 - 124040. Let l = 14899489\/112 - s. Calculate the common denominator of l and -1 - 49\/(-4) - -1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 14) to base 8.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from {t: 4, m: 2, s: 3, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.4 (b) -5 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 4*d)*(d - 6*d + 4*d) + (10 - 10 - 3*d)*(2*d + 4*d - 4*d) - 3 + 3 - d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 2 - 2 + 0*q**3 - 6*q + q**2 to the form s*q + n + p*q**3 + k*q**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4617 and 707940?\nAnswer: 2123820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 2*f - 2. Let y be c(1). What is the nearest to y in -2\/9, -0.1, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27 = -5. Calculate the remainder when 65 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*y = -y + 84059, 2*y = -s + 16807. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57\/88 - -75\/88. Which is the third biggest value? (a) 2\/9 (b) n (c) 3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 514\/7 - 516\/7. Which is smaller: 1\/638 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57367843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 4. What are the prime factors of t(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1862 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 7007.8081.\nAnswer: 7007.8581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*y**4 - y**3 - 77*y**2 - 3815*y wrt y?\nAnswer: -96*y**2 - 6*y - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10033 and 64\/878085?\nAnswer: 111516795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d = -92 + 302. Solve 12 = -d*r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -112*k**2 + 1566*k + 11. What is s(14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/52*(10 + 8 - 6). Which is bigger: -1\/4 or w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d*z**3 - 66*d*z - 5192*z**3 wrt d.\nAnswer: -7*z**3 - 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l - 43. Let j(b) = -1. Let v(c) = -2*j(c) + m(c). Suppose 8 - 10 = w. Let u(q) = q + 10. Let h(k) = w*v(k) - 9*u(k). Calculate h(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4281800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-4)\/((-3)\/(-3)*-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6624659812?\nAnswer: 2, 211, 7849123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/2 - 194413*w**2 + 1555328*w - 3110672 = 0.\nAnswer: -388834, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1436636, -1\/4, -2, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-0.611036\nAnswer: 1.0998648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-4) - -1) + 1705\/990*36.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -90. What is the remainder when 1*-4*49\/(-2) is divided by (1 - 0) + (-3 - (-2 - h))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 63 + (-25 + 7 + 33 - -5).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 53998422*o - 242985798207507 = 0.\nAnswer: 8999737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -90. Suppose -3*f = 3 - x. Suppose -5*u + 3*n + 29 = 0, -3*u + f*n + 4 = -u. Calculate the remainder when 17 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 - -346. Suppose -d + 193 + 301 = p. Is d a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61750, 123716, 185682, 247648?\nAnswer: 309614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/6 - 3*k**2\/2 + 10*k. Let r be v(3). Sort -2, r, 5.\nAnswer: -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 d, and 1 c when four letters picked without replacement from {w: 1, s: 3, c: 3, d: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48\/1481777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 9454\nAnswer: -7\/9454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 + 0*l**4 - 2*l**4 + (3*l + 1 - 1)*(-989*l + 36*l**3 + 989*l) + (0*l**2 + 0*l**2 + 2*l**3)*(-l - 3 + 3).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 + 22*l - 6. Let s(n) = 2*n**2 - 7*n + 2. Let a be (4 + -4)\/(3\/(-3)). Let i be (a - 4*-6)\/((-18)\/12). Determine i*s(k) - 5*d(k).\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15*1\/5*3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:39 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122.1 - 122. Let a = 3.95 + -4. Which is greater: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4 - 0. Let u be (-68)\/(-16) + l\/4. Solve 0*c - u = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -68. Suppose -4*m - 2*u - b = -8*m, -4*u = 12. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2. Let k(t) = -5*t**3 - 11. Determine -2*k(o) + 11*n(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 19 + -2 - 3. Let s be (-1)\/(9\/d)*3. What is the second biggest value in s, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 149. Let n be o(-30). Put 1876, 3, n, -4 in ascending order.\nAnswer: -4, n, 3, 1876","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 10) in base 14?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 13, -50094?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*x, 1 - 17 = -5*h + x. Suppose -2*d = h*d - 24. Which is the closest to 1? (a) 2\/9 (b) -4\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2057) + -1)**2 + -3.\nAnswer: -22*sqrt(17) + 2050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 822b2 (base 16) in base 9?\nAnswer: 1002331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11122011002120 (base 3) to base 11\nAnswer: -1432839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -21 + 0 + 15 - j**2 - 21*j**3. Let q = 42 + -44. Is s(q) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 5, 2\/3, -3, -2, -2.649 in descending order.\nAnswer: 5, 2\/3, 1\/4, -2, -2.649, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0636609 and 8.095?\nAnswer: 8.1586609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than or equal to 36790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-55*l + 20*l - 20*l)*(4*l - 2*l + 0*l).\nAnswer: -220*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-44) + (-187548)\/(-11). Let s be (r\/(-33))\/(1\/60). What is s rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3\/7 - 24*p**2\/7 + 307*p\/7 + 330\/7 = 0.\nAnswer: -33, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 121*g**2. Let q be o(1). Let m = q + -70. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -41, -3\/8, -1\/32 in descending order.\nAnswer: 1, -1\/32, -3\/8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czim when four letters picked without replacement from {z: 3, m: 1, b: 3, i: 2, c: 2, o: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 5*m**2 - m + 5. Let a be x(5). Suppose 0 = -5*j - a + 55. What is the remainder when 21 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71299 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -2.7 (b) 2 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (-1 + sqrt(11) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84750256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-5))\/(7\/(-1365)). Is 2\/5 - s\/(-30) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, d: 4, w: 3, k: 2, l: 1}. What is prob of picking 1 w, 2 d, and 1 k?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 - -9.2. Let l = 51.20205 - 48.202. Let h = d - l. Round h to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 10 - 10)*(m**3 - 2*m**3 - 4*m**3) - m**4 - 23*m**3 - 22*m**3 + 94*m**3 - 31*m**3.\nAnswer: 69*m**4 + 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Suppose 3*i = -0 + m. Let x be (21 + i + 0)*2. Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79866178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16568420 and 23720.\nAnswer: 33136840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5382, -1, 4, 3 in descending order.\nAnswer: 4, 3, -1, -5382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -274977688?\nAnswer: 274977693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -15 + 3 + -2 + -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*s + 14. Suppose s*o = -2*o + 272. Let q(a) = 35 - 2*a - a**3 + 37 + a**2 - o. Determine q(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/v**18*v**(8\/9)*v*v**(1\/8) assuming v is positive.\nAnswer: v**(-1583\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 15 + (-55458)\/3555?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63846 is divided by 21225.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 2*k + 2. Let m be a(0). Suppose 0*f - m*f - 2 = 3*u, -6 = 3*u. Suppose f*x = 3*x + 4. Let i(t) = -t**3 - 5*t**2 - 3*t + 2. What is i(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/3 - 8685178*c - 13027766\/3.\nAnswer: -2*(c + 6513883)*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*q. Let a = 5 - q. Suppose -4*k + 50 = 3*j + k, a*j = 2*k + 58. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 33*i + 16*i = 2*t - 23*i + 15*i - 159, 37 = 3*t - 4*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145365 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2868188906.\nAnswer: 2, 11, 4993, 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 32 = a - 4*x, -5*x - 41 = 4*a. Let b be 389397\/(-300) - (-1)\/a. Let t = b + 1298. Find the common denominator of 46\/3 and t.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22c50c - 19?\nAnswer: 22c4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00294706 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334440 + 12430?\nAnswer: 402420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 962*d - 80. Let z be g(15). Round z to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-48)*4 + (-6)\/4. Suppose 2*o + 3 = 3*o. Suppose 0 = 7*c - 5*c + o*j - 255, 0 = -3*c + r*j + 335. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000025 (base 6) to base 3\nAnswer: -2101000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1458 is divided by 1424.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -19, 3, -673 in ascending order.\nAnswer: -673, -19, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5, f: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 - 154931.39?\nAnswer: -154922.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 37 = 3*p + 90, 2*p = -8. Let l = c + -22. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b + 1. Let g(u) = 5 - 3 + 2 + 4*u + 2*u**2 + 7*u**3. Let q(a) = -g(a) + 4*y(a). Let q(m) = 0. What is m?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72321045, 144642098, 216963153, 289284210, 361605269, 433926330?\nAnswer: 506247393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8171 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 243 + -237. What is the remainder when (20\/(-8))\/5*(-300)\/2 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**5\/45 + y**4\/36 - 10*y**3\/9 + 38*y**2\/9 - 56*y\/9 - 167. Determine w so that b(w) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21843 and 919024?\nAnswer: 24813648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b + x, b - 2*b - x + 5 = 0. Suppose -b*y + 10 = -0*y. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/((32\/(-88))\/(124\/682))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -49*k + 8. Let q(y) = -5*y - 1. Let h(m) = 8*q(m) - s(m). Suppose 5*u + f = 13, 0*u + 5*u = f + 7. Let i be h(u). Is i at least 8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*j = -9, -3*j + 0*j - 9 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -593331569 take away 59?\nAnswer: -593331628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.7 - -5.108. Let l = 0.41 - 0.01. Let x = f - l. Round x to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1831, 1854, 1877, 1900, 1923?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36941201.\nAnswer: 11, 47, 71453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9683458 or 9683487?\nAnswer: 9683458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175313 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23005397.\nAnswer: 499, 46103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -182*c + 72*c + 63*c + 59784. What are the prime factors of c?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96360404 divided by -24090101?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - -5) + -1 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -11049010\nAnswer: -386715350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 1, g: 19}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4981111488.\nAnswer: 2, 3, 599, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -8278 and -0.0153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2806*j + 2812*j + 42 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -9)\/((-6)\/(-2)). Is d <= 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -6*f - 1\/6*f**3 + 1\/30*f**6 + 0*f**2 + 1\/20*f**5 + 0 - 1\/12*f**4. Factor d(m).\nAnswer: m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1212, -2466, -3732, -5016, -6324, -7662, -9036?\nAnswer: -10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19308\/7 - -92417\/35. Suppose 4*a = -a - 585. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-3)\/12*(-4)\/42\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80 - 13*t - 38 - 71 + (-2 + 2 - 1)*(-2*t + 3 - 3) + (t - 4*t + 4*t)*(4 - 4 + 3) + 2*t - 4 + 4.\nAnswer: -6*t - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.13, -2\/17, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*d = -6308, 298 = -5*d + 263. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4778 is divided by 149.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2513*c**3 + 1284*c**3 + 2*c**2 + 1300*c**3 as k*c + u*c**2 + s + m*c**3 and give m.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 9 + 1)*(-325*q**3 - 274*q**3 + 766*q**3).\nAnswer: 2338*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 7, 4, 2, -1, -175855?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, w: 3, i: 4}. Give prob of picking 2 i and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 - i**2)*(i**2 - 4*i + 4*i) + 8821 - 8821 + 75*i**4 - 2*i + 4*i**4 + 2*i.\nAnswer: 78*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a**2 - 12*a**2 - 2*a**2)*(-2*a + a + 0*a)*(0 + 5 - 3) + (-9*a - 1 + 1)*(a**2 - 3*a**2 + 0*a**2) in the form g*a**3 + r*a + l + i*a**2 and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -73197 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 183*m**2 + 570*m - 1800. Determine f(186).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -861, -586, -43, 768, 1847, 3194, 4809?\n\"Answer: 134*r**2 - 127*r - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.287 + -0.287. Which is greater: -17 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 218. Let a = q - 56. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 529512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 + -346.98. Let t = h + -0.02. Let p = t - -14. Put -5\/6, 0.5, p in decreasing order.\nAnswer: 0.5, -5\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -4)\/(-1) - -5. Let f(l) = -494*l**2 + 3*l + 2. Let v be f(w). Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, w: 2, d: 2, x: 2, k: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65862 or -449\/4?\nAnswer: -449\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22405 (base 7) in base 8?\nAnswer: 13071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/7 - 6*s**3\/7 - 22*s**2\/7 + 6*s\/7 + 20\/7 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:59 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k + 50. Let c be z(7). Suppose -3*t + 12 = 3*l, 2*t - c = -5*l + 12. Solve -7 = l*s + x, -2*s + 4*s = x + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 16*k**2 + 20*k + 53. Let w be j(-17). Suppose z - 277 = -4*h - 2*z, -w*z - 212 = -3*h. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.52 + -0.12. Let x = -2.6 - p. Let z = 1887 - 1885. Which is the closest to -0.1? (a) x (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 p when four letters picked without replacement from pppfffpffpppfppppp.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 54, 83, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-17)\/(765\/10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 145. Suppose 2*m + 4*r - 796 = -2*m, 2*m - 2*r = 406. Let k = m - t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*h = 0, -h = 4*x - 0 - 21. Let f be 1 - (x + 3908\/(-1300)). Is f at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -75*l**3 + 451*l**2 - 7*l + 1. Give a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - b**4 - b**4)*(2*b - 3*b + 0*b) - 88*b**3 + 86*b**3 + 6*b**5 - 46*b**5.\nAnswer: -41*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3193, -3242, -3323, -3436?\n\"Answer: -16*t**2 - t - 3176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 315, 320, 329, 342, 359, 380, 405?\n\"Answer: 2*y**2 - y + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -1704\/11?\nAnswer: -1704\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236780 = 25*c - 245295. What are the prime factors of c?\nAnswer: 11, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1845 = 17*f + 280. Let y = -226 - f. Let n = -50 - y. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6048, 2\/11, -2 in decreasing order.\nAnswer: 0.2, 2\/11, -2, -6048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 26 + 70. List the prime factors of r\/(-8) - (0 - 9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 6. Let h be p(-5). Let t be h\/5 - 6832\/35. Let v = -118 - t. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from {j: 14, x: 2, b: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjjww. What is prob of picking 2 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((171\/19)\/(-18))\/(82\/(-8)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 2*u + 903. Let v = u + -112. Solve 5*s + v = 3*r - r, 0 = r - 3*s - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2 - 4*q - 4. Let c(z) = z**2 + z + 1. Determine 12*c(s) + 3*i(s).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -h - 3*i, 2*h - 2*i = 9 + 21. Find the second derivative of -h*l - 7*l - l**5 - l - l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17848 - 8890 + 21089*d**2 - 20979*d**2 + 3577*d + d**3 + 19854 = 0. What is d?\nAnswer: -49, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 32 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -90*h + 5214. Determine y(57).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4 - (-7 - 12 - -19)) + 45 - 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17442 is divided by 699?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-297)\/(-45))\/(20\/400*30)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 6*h**2 - 6*h + 16. Let c = -4 - -11. Does 23 divide b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsajtseje. Give prob of sequence ajs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b - j - 2, 5*b + j = 11. Suppose -4*q - 5*y + 18 = -0*q, -2*y = -3*q + 2. Factor -3\/2*z**b + 3\/2 + 3\/2*z - 3\/2*z**q.\nAnswer: -3*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*r**5 - 146*r**4 + 4*r**3 + 66*r**2 - 7264*r.\nAnswer: 3960*r**2 - 3504*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 at least -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672784 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5041\/4 + 1261. Find a such that -3*a**2 + d*a**4 + 9\/4 + 3\/2*a**3 - 3\/2*a = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j = -280 + 360. Let x be 10*(-5)\/30*3. What is the third smallest value in j, x, -11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3107)\/391 + (1 - -7). Let f = r + -37397\/4692. Calculate the common denominator of f and -23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 64 = 12*f + 106. Solve -8*d + 2*k = -f*d - 5, 0 = 4*d + k - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q + 58*q**2 + 4 + 20*q - 41*q in the form w*q + m + l*q**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 53148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3944 - -5?\nAnswer: 3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.98 - 0.68. What is the nearest to 0 in j, -6, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -60 - 390. Does 8 divide 0\/(-2) - n\/(1 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/616)\/((-2)\/(-7)))\/((-17)\/204)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212 + -406?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 26*o + 28*o - 57*o as i*o + d and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**2 + 7*r**2 - 10*r**2)*(3*r**2 - 3*r**2 - r**2).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 651 = 3*a - 254, -a + 297 = -3*s. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2266.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -370, 2764, 1 in increasing order.\nAnswer: -370, -3, 1, 2764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 146 = -5*w + 14*c, 20 = -5*c. Suppose 8 = 17*a - w. Solve -31 + 29 = -a*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2*3\/(-6) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c + g - 14, 5*c + 2*g + 2 = 0. Let q be 1\/1*(-22)\/c. Let d = q - 4. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*l - 96*l + 11*l + 10*l + 69*l + 11*l.\nAnswer: 71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -483, -974, -1467, -1962, -2459, -2958?\n\"Answer: -z**2 - 488*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a = 4. Suppose d - 6*d + n = -23, d - a*n = -3. Solve 4 = 5*f - 2*u + u, 0 = -d*f + 5*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/2 + -2)*70. Let i(b) = 2*b**2 + 281*b - 1718. Let d be i(6). What is the highest common factor of w and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3525 is divided by 320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 4. Let o(d) be the first derivative of 1\/2*d**2 - 16 - 4*d. Suppose 4*n = n + 9. Give n*w(z) + 2*o(z).\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/60*(12\/36*16)\/14?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + h - 73 - 4*h)*(4 - 1 - 4).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 - -5012?\nAnswer: 4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -4*c - 2*s + 60, 4*s + 21 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 18*q. Let t be i(3). Suppose 0 = 3*m + 2*k - 70, 0 = 3*m + 5*k - t - 31. Let j = m - 15. Calculate the least common multiple of 3 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1670 + 890)*2\/(-13)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, -112, -468, -1164, -2314?\n\"Answer: -19*r**3 + r**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o + 4. Suppose 3*i = -4*u - i - 16, 4*i + 21 = u. Let z be (6*u)\/(-1 - 0). Let s be 3 + 1\/((-1)\/16). Let q(c) = -7*c - 2. Give s*q(m) + z*n(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18285.\nAnswer: 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23360, -23351, -23342, -23333, -23324?\nAnswer: -23315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117693089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 9 = c, -c = -2*s - 7927 + 7924 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**2 + 8*n - 84. Suppose 3*w + 2*w = 40. What are the prime factors of d(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 - -6 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 873 (base 11) to base 10\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - -0.07. Let l be (-2)\/(-4)*(-60)\/(-165). Which is the closest to j? (a) 0.1 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1 + 5*p**2 + p**3 - 42*p + 0*p**3 + 35*p. Calculate the least common multiple of z(-6) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 65*f - 523. What is g(-75)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 481*l + 4581. Is k(78) a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5757 - -1626?\nAnswer: 7383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 2*p - 78, -5*h + p + 101 = 0. Suppose -x - 12 = -0*x. Let s = x - -15. Solve -2*u - s*u = h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s - 4*y = -45*s + 8, 4*s + 2*y = -10. Let a(d) be the third derivative of d**5\/60 - d**3\/6 - 7*d**2. What is a(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 16 - (3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.18 + 0.25. Let n = -43 + 42.935. Let j = b + n. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. Factor 27*g - 9*g + 3 + 12*g**3 + 17*g**2 + 7*g**2 + b*g**2.\nAnswer: 3*(g + 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*g - 46, -12 = -5*g + 13. Let z be 1 + n + (-3)\/(-1). Suppose -z = -2*k - 2. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 = -6*q. Suppose -6*b = -q*b + 21. Let z be (-2)\/b - 286\/(-77). Solve 4*s - 3*t = s + 6, -2 = -s + z*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -662 + 79*x**2 - 957*x + 665 + 956*x + (-1 + 1 - 1)*(x - 2*x**2 - x).\nAnswer: 81*x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 96120013 to the nearest ten thousand.\nAnswer: 96120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 45 = -225. Solve 4*f - 5*d = -j + 2, 5*d = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(-4 + 1 + sqrt(11))*-2)**2 + (4*(-2 + sqrt(539) + -1 + sqrt(539) + sqrt(539)))**2.\nAnswer: -2232*sqrt(11) + 78482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44.9 + -43.9. Which is the biggest value? (a) r (b) 1\/6 (c) 0.102 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(-33)*p\/p**(-6)*p**(-1\/10))**15 assuming p is positive.\nAnswer: p**(207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2. Let z(t) = -t**2 + 282*t - 19885. Let s(j) = -10*y(j) - 5*z(j). Find g, given that s(g) = 0.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2053 (base 11) to base 5.\nAnswer: -41340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 298\/(-1639)*11\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 6*d - 1. Let h be b(-5). Suppose 21 = -19*j + 20*j. What is the remainder when h + (-3)\/(-3)*3 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6.2. Let f = 0.2 + 0.3. Which is the third biggest value? (a) -0.5 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 928*u**3 - 15*u**2 - 23*u + 21. Give l(1).\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79456 and 367484.\nAnswer: 2939872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 divided by 1?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 4*c**4 - 5*c**2 + 4314*c**3 - 2*c**2 - c**2 - c**2 - 4323*c**3 to the form s*c**4 + o*c**2 + d*c + k + x*c**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Let j = -1 - c. Let n = -1 + 6. Put n, 0, j in descending order.\nAnswer: n, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 + 604?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 16*s + 25. Let p be c(13). Let i = p + 2. What is the tens digit of 6799\/78 + 2\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + -3*sqrt(38))\/sqrt(2) + sqrt(1539)*4)*2.\nAnswer: 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240, -484, -884, -1434, -2128, -2960, -3924?\n\"Answer: r**3 - 84*r**2 + r - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30023312 divided by -5\nAnswer: -30023312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 8*o - 13 + 24*o + (0 - 19 - 13)*(-3*o + 0*o + 0*o) in the form i*o + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5008*j + 5008*j - 61*j**2)*(0*j**2 + j**2 - 4*j**2)*(-13*j - j + 3*j + (2*j - j - 3*j)*(-1 - 1 + 0)).\nAnswer: -1281*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234260 is divided by 146?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45957209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211020202 + -1?\nAnswer: -211020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 616963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7\/29, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -44\/3 + 46\/3*a - 2\/3*a**2 = 0. Calculate a.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467\/13620 - 4\/227. Let p(u) be the second derivative of 2*u + 0*u**2 + 1\/15*u**3 + 0 - f*u**4. Determine m so that p(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 134\/(-6) - (-2)\/(-18)*-3. Let n = 35 + -19. Let x = f + n. Let s(d) = d**2 + 8*d - 2. Calculate s(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92956, -371788, -836508, -1487116?\nAnswer: -2323612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = 5*r - 233 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 62 (b) -265 (c) 2\/241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*z - 20 + 23 = 0, 18 = -g + 5*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -156a (base 14) to base 12\nAnswer: -2262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4225 = 57*f + 64*f - 2067. What is the remainder when 1131 is divided by f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 627102.4cm?\nAnswer: 6271.024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from hkhkhkk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -9*d**2 + 77*d + 62. Differentiate k(h) with respect to h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -68500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(1\/4)*g*(g**(-2\/3)*g)\/g)**(3\/2) assuming g is positive.\nAnswer: g**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1648 - -1643. Let f = 21\/46 - -1\/23. Which is the third biggest value? (a) f (b) -5\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:37 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22766963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-12)*1*9. Let t be (14 + -5)*3\/k. What is the second derivative of 3*a + 5*a - 10*a**4 - t + 9 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*d - 2*d - 4*d)*(1 + 0 - 2) + 29*d - 3 + 3 + 0 + 0 + 2*d)*(-22*d + 1283 - 1283) in the form t + k*d + a*d**2 and give a.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 3 = 2*z - 19*a, 0 = 3*z - 2*a - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 1, w: 3}. Give prob of sequence fww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 106595369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1.576.\nAnswer: 1.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1001 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (-20 + -22)) + -56.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*d + 13 = -10, d = -4*v + 3. Suppose -30 - 20 = -v*b. What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*b + 380 = 0, 5*z + 902 = -0*z + 2*b. Let y = 222 + z. Calculate the remainder when 40 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*-1206.\nAnswer: -4944.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 408*j - 145656.\nAnswer: -2*(j - 714)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (sqrt(36)\/(sqrt(75) + sqrt(3)))\/(sqrt(16)\/sqrt(36))).\nAnswer: 3*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6 + 3*p**3 + 7*p - p**2 - 5*p**2 - 2*p**3. Let w be f(5). Let y be (3 - w)*0\/1. Solve 2*n + 5*v - 1 = 0, y*v = -5*v - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 3630.\nAnswer: -1\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 564\/28 - 131\/917?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/20 + -3)\/((-2)\/(-6750)). Round x to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1317, -5, -4, 3 in decreasing order.\nAnswer: 1317, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + (-320)\/40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 - 66*l**4 + 11*l**5 + 34*l**5 + 30*l**3 - 4*l**2 = 0.\nAnswer: 0, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-4)\/(-8)*8\/4852). Let b = i - 575. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4*l + 5365*k**4 + 33*k**3 + 13*k**2*l + 3*k*l - k + 44*l + 2 wrt k?\nAnswer: 24*k*l + 128760*k + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282 + 244 - 559*y - 527.\nAnswer: -559*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.73 + -0.17. Let s = u + 1.2. Let w = -20429\/3 - -6810. What is the closest to w in s, 7, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3930, -3929, -3928, -3927?\n\"Answer: k - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + -1.27. Which is the nearest to f? (a) -0.1 (b) 3\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.48 + 1.82. Let v = -7 + z. Let h = 5 - 3. Put -0.3, h, v in increasing order.\nAnswer: -0.3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 29. Let k = -20 + m. Calculate the remainder when k is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109163918?\nAnswer: 2, 54581959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3872 - 3877 + 7749 + 32*b**2.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p**4 - 66797*p**2 - 1555460 wrt p?\nAnswer: 20*p**3 - 133594*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -0.09. Let j = 1 + -4. Let t be (8\/2)\/(-2) - j. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 5 - 5)*(-2*c**2 - c**2 + 0*c**2 + (-6*c**2 + 4*c**2 + 3*c**2)*(-1 + 1 + 2)).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*d - 31*d**2 - 38*d**2 - 36*d**2 - 281*d.\nAnswer: -105*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158944417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v - 1 + 3\/4*v**4 + 0*v**2 + v**3. What is the third derivative of u(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -428307653*b**3 + 212*b**2 - 7*b + 11403 wrt b.\nAnswer: -2569845918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 220873286995.7 take away -5?\nAnswer: 220873287000.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13685*y**2 + 37313*y**2 + 24832*y**2 + 6771*y**2 + 73785*y**2.\nAnswer: 156386*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42798974 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-5))\/(6\/40). Suppose 3*i - l = 67. Let x = i + -19. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1308182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, -3*z - 4*h + 19 = -30. Let n = z + -20. Let v(o) = 12*o**3 - o - 1. Calculate v(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -267625 divided by -110\nAnswer: 53525\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*v + 6*v - 8 = 0, -d - 4*v + 8 = 0. Suppose 4*i + d*p = 3*p - 8, 5*i = 3*p - 7. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3237434844.\nAnswer: 2, 3, 7, 38540891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 19*j = -329. Sort 0, -3, -4, j in descending order.\nAnswer: 0, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76971.4 nanometers to kilometers.\nAnswer: 0.0000000769714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1094*y**2 - 10*y - 58. Let w(l) = -2917*l**2 - 27*l - 156. What is 27*q(m) - 10*w(m)?\nAnswer: -368*m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 13. Let p be 5*(-1 - -2)\/1. Suppose -44 + p = -3*f. What is the highest common divisor of u and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 7\/6 (c) -2\/15 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let y = x + -1. Suppose -80 = -3*n - y*g - 3*g, 2*n = 3*g + 28. What is the lowest common multiple of n and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-4))\/(25\/(-600))*-11 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 3*q**2 - q - 4*q**3 + 3*q**3 - 2*q**2 + 3 - 5*q**2 in the form u*q**3 + n + k*q**2 + p*q and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 350697919 + -673?\nAnswer: 350697246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 5*r**2 + 7*r - 2. Let h be n(6). Suppose h*o - 66 = 2*o. What is the greatest common divisor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*s - 216*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66822 = -18*d - 25*d. Suppose 25*l - 3571 = d. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71.418702 and -1470?\nAnswer: 1398.581298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 137 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228 - 178. Suppose -44*z - 1422 = -l*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800) + 1*sqrt(2800) - sqrt(2800) - (sqrt(2268) + -1*sqrt(2268)))\/(sqrt(100) - (sqrt(100) - -2*sqrt(100))*-2).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 - 531. Suppose -2*v + 6*v = 4. Solve -u*c + 0*c = 0, -c - v = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 10*m**2 + 5*m**2 - 3*m**3 - 25*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.656 - 0.47. Let k = 0.18599807 - z. What is k rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**4 + l**2 + l + 1. Let d(m) = -10*m**4 - 3*m**3 - 20*m**2 + 16*m - 11. Let u(t) = -4*d(t) - 44*v(t). Factor u(g).\nAnswer: -4*g*(g - 3)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4950063 is divided by 556?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -234*g + 10*g**3 - 11 + 9 - 18*g**2 - 120*g + 53*g**2 wrt g.\nAnswer: 60*g + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34944 + 34943.975791. What is s rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = f + 2*f. Suppose -22*l + 25*l + f = 0. What is the units digit of l\/(-55) - (-185)\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/(3\/3)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-9 - -16) - (-12 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + a = -a + 4, 3*j = -3*a - 3. Suppose -4 = j*y - 2*y. Let b(r) = -5*r**3 - 3*r**2 - 5*r. Let u(z) = -z**3 - z**2 - z. Calculate y*u(l) + b(l).\nAnswer: -l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078.5726 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**3 + 4*r**2 - 10*r + 8. Let k(s) = 5*s**3 + 5*s**2 - 10*s + 9. Let w(y) = -4*k(y) + 6*q(y). Determine u, given that w(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 84 = 0. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -55. Let c be 8\/3*o\/4. Suppose -x = 2*x - 24. Solve -b = -w + x, 3*b = w + w - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/735 + 2*n**6\/105 + 13*n**5\/210 + n**4\/14 + 89*n**2. Factor k(y).\nAnswer: 2*y*(y + 1)**2*(y + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 5*h + 2*h, -25 = -5*n - 5*h. Let u(i) = 530*i**2 - 5*i - 8. Is u(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/39*(-15)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 39 = 69. Let q be 26\/3 - h\/45. Suppose 0*t = -t + q. Solve -3*k + t = -0*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32638670461\/33422 - -707\/16711. Factor 78125*y**2 + 125\/2*y**4 + 9765625\/2 + 3125*y**3 + 1\/2*y**5 + z*y.\nAnswer: (y + 25)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136\/3 - 1091\/24. Which is the biggest value? (a) 0 (b) -1\/2 (c) m (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 21*k**3 + 26*k**3 - 2*k**4 + k + 104*k**3 + (1 - k**2 - 1)*(72*k - 72*k + 17*k**2) as j*k**2 + x + l*k**4 + d*k**3 + u*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 3:21 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166*w + 5 - 3 - 161*w)*(-2 + 3 + 0).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.1 (b) 0.5 (c) 3\/13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4893 - -9751?\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 3. Let b(n) = 2*n + 5. Suppose -2*o + 15 = 11. Suppose -2*a = -o, 4*f + 4*a - 19 = f. Let h(i) = f*g(i) - 3*b(i). Let j(t) = 9*t. Give h(j(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1260990.2 + 11017.\nAnswer: 1272007.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000359309652 rounded to six dps?\nAnswer: 0.000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10*r = -13*r + 6783. What is the highest common divisor of r and 3363?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -131 and -0.5?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 29. What is the nearest to x in -1, 0.06, -2\/3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 16. Let r = 92 + -80. Let u = h + r. Which is bigger: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -687 - -681. Let l = 4\/49 - 69\/245. Which is the closest to 0? (a) d (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*z = -49 - 76, 3*z = -3*x + 210. Let y = x - 45. Let q(p) = 2*p**2 + 2 - 24*p**3 - 3 + y*p**3. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 11*r = 14*r - 9. Is r at least as big as -53\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2834 by 26.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366.97 rounded to the nearest 10?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -130*t. Let p(h) be the first derivative of 11*h**3\/3 + 4832. Calculate i(p(m)).\nAnswer: -1430*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*y - 74*y - 57*y - 6*y + 2 as p + j*y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 161 - 2*h**2 - 2*h**3 - 5*h**3.\nAnswer: -7*h**3 - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/810 and -149\/11340?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67647791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 6:07 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 504895804 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 7*v**4 + 66491*v**3 + 578928*v**2 + 360604*v - 151840 = 0.\nAnswer: -9490, -8, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868629 is divided by 217154.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsjssjj. What is prob of sequence sj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1294124 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 45*b**2 + 8*b + 38. What is the tens digit of d(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -403*p**4\/6 - 45*p**3\/2 - 540*p**2. Differentiate z(c) wrt c.\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (25 - 8 - (1 - -9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 0.2. Let f = -22 + 18. Let q = 0.1 - 0.2. Which is the nearest to q? (a) 5 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219762 divided by 8.\nAnswer: 109881\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.2 (b) -1157618 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 - 8*o - 9. Let s be x(-6). Suppose -s*g + 2 = -7. Suppose 1 = a - g. Solve 0 = 3*r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-5))\/(12\/50). Let n = 41\/51 - a. Suppose -9*g + 6 = 4*t - 12*g, 10 = t - 5*g. Is t smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 1, o: 10, d: 1}. Give prob of picking 3 o.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/155356 and 119\/82960104.\nAnswer: 82960104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 5*o - 22 + (-6*o + 4*o - 11*o)*(4 + 0 + 0) + (0*o + o - 2*o)*(0 + 0 + 2).\nAnswer: -49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 + s + 4. Let a be i(0). Let d(o) = -o**3 - 3*o**2 + o - 2. Let k be d(-3). Suppose -19 + 4 = -5*h. Sort h, a, k.\nAnswer: k, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268326644.\nAnswer: 2, 67081661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1540*j**4 + 330.\nAnswer: 6160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5721 - 265 = -177*y - 3925 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1584) + sqrt(1584) + -2 + sqrt(1584))**2 - (sqrt(275) + (sqrt(275) - 5*sqrt(275)*-6)).\nAnswer: -304*sqrt(11) + 14261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 6*m - 377. Suppose -3*s + 94 = q, -m = -3*q + 4*s + 256. Suppose 520 - q = 6*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 156210 - 286287 = 0. List the prime factors of l.\nAnswer: 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -2*c + 3*t, 5*c - 2*t - 576 = -138. Find the first derivative of -3391*i - 11 + c*i**2 + 3391*i + 57 wrt i.\nAnswer: 176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 - 8*p**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 5 - 5)*(-261*w + 237*w - 4*w**2 + 140*w + 1).\nAnswer: -8*w**3 + 232*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = 3*w. Let v be 2\/4 - 11\/(-2). Calculate the remainder when 31 is divided by (w\/v)\/(4\/(-48)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 110*x**2 + 315*x - 162. Give v(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 8*q. Suppose -5*m + 5*r + 10 = 0, 5*r + 16 = 1. Let b(k) = -8*k**3 - k**2 - 3*k - 2. Let w be b(m). What is j(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.91 + -4.71. Suppose -p - 38 = 4*s + p, -3*s + 3*p - 24 = 0. Which is the nearest to s? (a) 2\/7 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 5:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 26164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50, -116, -182?\n\"Answer: -66*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = -3*z - 3*l, -2*z + l = -1. Suppose 4 = -n + 4*q, -4 = -2*n + 3*q - z. Factor -x**3 - x + 1\/4*x**n + 1\/4 + 3\/2*x**2.\nAnswer: (x - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let x(u) = 3*u**2 - 2*u**2 + u**q. Let j(g) be the first derivative of g**2 - 1194. Give j(x(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -33 + 6409. Is ((-176)\/(-224) + (-4)\/14)*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v. Suppose 0*w = w + r - 8, v = -4*w + 3*r - 3. Suppose -120 + 36 = -w*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1572\/156 + -10)*2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 + -94. Calculate the remainder when s is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 3*j + 4*j)*(3*j + 2*j**2 - 3*j)*(3 - j - 2 - 3*j).\nAnswer: -8*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 3:47 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8316)\/(-77) - (2 - (-2)\/2). Is (1205\/(-15) - -1)\/((-10)\/p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331.8 - -50821.\nAnswer: 50489.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34373635673381 and -5.\nAnswer: 34373635673376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (2*sqrt(114))\/sqrt(2))\/(sqrt(27)\/(-1*sqrt(9))) + (2 + -2 + sqrt(152)\/(2*sqrt(8) - sqrt(8)))**2.\nAnswer: -3*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 18\/15*(255\/(-1))\/((-720)\/160).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -216 (b) -332 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g + 38 = t, 0 = -4*t + g + 190. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11711 or 11665?\nAnswer: 11665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -123664.8?\nAnswer: -123665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 422 and 889154?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let r = -1.331 - 2.669. Which is the third smallest value? (a) r (b) w (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((260\/(-735))\/13)\/((504\/98)\/6).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-33))\/(o\/(o**(-19)\/o))*o**22*o**28 assuming o is positive.\nAnswer: o**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/140)\/(217\/465).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -4.911?\nAnswer: 4.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 - 91 = -r, 0 = -4*c + r + 87. Solve -5*q - 27 = i, 4*q + 3*i + 3 = -c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 1. Let l(n) = -481*n - 78. Let c(p) = -l(p) + 78*v(p). Let a(r) = -6*r**2. Calculate c(a(f)).\nAnswer: -78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -9\/320 (c) 2 (d) -3.953\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -10*y - t, 0 = 171*y - 149*y - 5*t + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-215)\/45 - (-12)\/(-54). Let t be -2 - 8\/d - (-8)\/10. What is f in t*f**2 + 2\/5*f + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -23.99999816. What is t rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103 - -1?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2189 is divided by 145?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/157, 5, -22, 0 in descending order.\nAnswer: 5, 4\/157, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5769 >= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*x**3 + 3 + 20*x**3 - 13*x**3 wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -875581\nAnswer: 15\/875581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99061330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p - 21*p - 28*p + 67*p + 726*p**2 to the form q*p**2 + v*p + u and give q.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 4. Let a be b(3). Let v be 7 + (-1 - a - -2) + -2. Suppose 3*g - 1 + v = 2*z, 4*z - 12 = -5*g. Solve -n = -g + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115324 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 2*d. Let n(u) = 3*u. Let b(s) = 2*n(s) - 3*y(s). Let g(f) = 3*f + f - f. Determine g(b(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 47088207695.\nAnswer: 47088207694.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Let n = -1 - r. Let d = 10\/7 - 8\/7. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.6 (b) 1\/29 (c) 7 (d) 2 (e) -1\/36 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.23221ug to tonnes.\nAnswer: 0.00000000004423221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -100 (b) 0.5 (c) -0.14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-3 - -3). Let n = -3 - -6.9. Let u = 4 - n. Is u at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 5\/6*z**3 - 21*z**2 + 0 + 0*z**4 + 0*z**5 + 11\/40*z**6 + 0*z. What is the derivative of p(l) wrt l?\nAnswer: 99*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1414633, 2829078, 4243523, 5657968?\n\"Answer: 1414445*t + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 183 = -18*z + 49 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-8253)\/262*-2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -10 + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8797*t**2 + 1175 wrt t?\nAnswer: -17594*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 6 = -51. What is the second derivative of -114 + 227 - 2*l**3 - 113 - 35*l**4 - p*l wrt l?\nAnswer: -420*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 21 - 4*n**2 + 17)*(-n - 4*n - 3*n).\nAnswer: 32*n**3 + 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 4, -23, 3, -6.5, -34?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 4*k**2 - k - 2. Let x be z(-4). Solve x*f - 4*t - 8 = -f, -3*t = 3*f - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - 9 + 31. Put -69, h, 4 in increasing order.\nAnswer: -69, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15523 or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 4*o + 4*q, 23 = 4*o - q. Let h(y) = o + 3 - 8 + 3*y. Let d(l) = -6*l**2. Calculate h(d(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 + 6279*z + 216976. Calculate t(-861).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -42 - (-1 - 6)) + 1 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211915 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 678975, 1358366, 2037757?\n\"Answer: 679391*d - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3142744 divided by -284?\nAnswer: 11066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 6*b + 2. Let w = -5 + -2. Let t = w - -11. Does 21 divide f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/4)\/m**(-3))**39 assuming m is positive.\nAnswer: m**(663\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 + 3262089952?\nAnswer: 3262092814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -0.02, 103.3, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*w + 15 = 0, 0 = 3*m + 5*w - 1 + 16. Suppose -2*q - 1 + 7 = m. Suppose -4*s = -7*s + 51. Solve -12 = -q*r + 5*y, -4*r - 5*y = -2*r + s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-338) - (-21)\/(-39)*(-96)\/(-28)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -66) + -24 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021551456 to the power of 1\/3, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 211120010 (base 3) to base 12\nAnswer: 9626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 5*n + 4. Let b be s(4). Let p = -2063 + 2049. Sort b, 4, 1, p in descending order.\nAnswer: 4, 1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 - 11*l**4 + 15 + (-20 - 3*l**2 + 20)*(-2*l**2 - 4*l**2 + 2*l**2).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 6, 5*v + 194 + 181 = -5*w. Let q = -44 - w. Let p be q - (3\/3 - -3). Solve -6*b + b - p = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzgfqgggzfzffggzgqg. What is prob of sequence fggf?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 16, 8, -12.7.\nAnswer: -12.7, 8, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 4*q - 2. Let m(r) be the third derivative of r**4\/3 + r**3\/6 + 2*r**2. Let y be m(1). Let k be 2\/((y\/(-6))\/3). What is t(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cchh when four letters picked without replacement from {c: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*x + 28582, -x = 2*x + l - 42863. List the prime factors of x.\nAnswer: 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 30*d + 14163 = 4*y, -d = -2*y + 7089. Suppose 0 = y*p - 3535*p - 14. Factor f**3 + 49\/4 + 91\/2*f - 55\/4*f**p.\nAnswer: (f - 7)**2*(4*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010010000 + -10000101001001?\nAnswer: 10101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 + 303 - (-4 + 1)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6802 is divided by 230?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 - 8*p**3 + p - 6*p + 2*p**2.\nAnswer: -24*p**3 + 2*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 348*t**2 - 4331*t - 527939. Determine u(-356).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157.806ml in litres?\nAnswer: 1.157806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -105. Let n = 42 - w. Suppose n*i = 2*i - 6. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002204899631 to 6 dps.\nAnswer: 0.002205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1462 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100339926*k**2 - 200679840*k**2 + 100339915*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*t - 72, 38*t = 3*i + 35*t - 60. Let k(v) = -21*v + 2. Let m(u) = 64*u - 7. What is i*k(h) + 4*m(h)?\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:02 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11791638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4, 3*c = -h + 5*h + 226. What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2221 is divided by 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (2277 - 9) + -7 + -2*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763362 bigger than 2763361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.58 + -1.42. Let t = 603235.00205 - 603283. Let h = t - x. What is h rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/5207976 and -143\/54.\nAnswer: 5207976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/8*(108\/(-14))\/(-9). Sort 7, -4, 4, 11, n in increasing order.\nAnswer: -4, 4, n, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*y = 24, 2*y = b - 0*b + 2. Let u = -5 - -10. Let i(f) = -7 - f + f + 4*f - u*f. Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2\/7.\nAnswer: -4, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*o - 19 = 0, -6*l - 2*o + 65 = -l. Suppose 0 = -l*u + 124 + 272. Let p be (u\/(-8))\/(15\/(-220)). Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1018, -1740, -2436, -3100, -3726?\nAnswer: -4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 2.777?\nAnswer: -0.05554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1691 smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(95) - -1*sqrt(95))*6)\/(sqrt(5) + sqrt(5) + (3*sqrt(245) - sqrt(245))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -496?\nAnswer: -495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21904\/(-222))\/(-74)*2\/(-18)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -2*g - 132. Let w = 37 - g. Let t be (4\/10)\/(3\/w). Solve 0*h + t*d = -h + 4, 3*h - 12 = -2*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22339\/34 at most as big as -658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lffi when four letters picked without replacement from {i: 1, l: 1, g: 2, f: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**2\/2 - 56375675*w\/2 - 140939125 = 0?\nAnswer: -11275130, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 9*n + 2. Let b be o(6). List the prime factors of 1 + 4 + -2 - (b + -3).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66966*f*g**3 + 29*f*g + 1303*f - 16882 wrt g.\nAnswer: 200898*f*g**2 + 29*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 1 + 5)*(4*o - o - 2*o) + 0*o - 3*o + 2*o to c + w*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s + 21 - 2*s - 32 - 2*s + 42. Calculate v(-10).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*v - 3*k, 5*v + 0*k = -4*k + 64. Calculate the remainder when v is divided by ((-10)\/(-8))\/((-1)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*m*w**2*y**2 + i*w**3*y**2 + 10*i*y**2 - 8*m*w**3*y**2 - m*w*y**2 - 4*m*w wrt w.\nAnswer: 6*i*y**2 - 48*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2 = 2*z - 32, -41 = 2*x + 5*z. Let v(u) = 2*u**2 + 12*u + 5. Give v(x).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00056 times 69\nAnswer: -0.03864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/3, 10, 1\/4, -38?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woooioiqeiw. Give prob of sequence iiq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)\/g*g*g**4)**4*g*g\/(g*g**0\/g*g*g)*g*g**(-2\/11)\/g*(g**0)**29 assuming g is positive.\nAnswer: g**(207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587*f**5 - 17459*f**4 - 63502*f**3 - 76256*f**2 - 96*f = 0. Calculate f.\nAnswer: -4, -3, -2\/1587, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13.8. Let k = -0.01 + 0.01. What is the closest to k in -3, -1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y = -6. Suppose 3*f = -y*v + 3 + 23, 0 = 4*v + 2*f - 60. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5706, -11404, -17094, -22776, -28450?\nAnswer: -34116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -9) + 0*-3*(-2)\/12. Put d, 0, 1, -0.04 in ascending order.\nAnswer: -0.04, 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 261 = 2*o - 5*t, 0 = -5*t + 5. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -36, -6 in descending order.\nAnswer: 3, -0.1, -6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 313990*i**2 - 4930113925*i - 19715432180.\nAnswer: -5*(i + 4)*(i + 31397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1348 or 1404?\nAnswer: 1348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/99 and 314\/252 - (-80)\/(-120).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -694*u**2. Let b(j) be the first derivative of -6*j**2 + 1318. Determine b(g(p)).\nAnswer: 8328*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjv when four letters picked without replacement from {a: 3, v: 5, j: 8}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564042606*d**2 + 498548406*d wrt d?\nAnswer: 1128085212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11477, -22959, -34453, -45965, -57501, -69067?\n\"Answer: -g**3 - 11475*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3413403845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12257 divided by 5.\nAnswer: 12257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -17*b**6\/30 - 37*b**4\/12 - 6*b - 34. Let u(d) be the first derivative of w(d). What is the third derivative of u(v) wrt v?\nAnswer: -408*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.7. Suppose 17*d = 208 - 72. Let z be 35\/21*(0 + d\/(-20)). What is the nearest to -0.2 in z, -0.08, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) + (-2*sqrt(196) + sqrt(196) - sqrt(196)))\/(sqrt(8)\/(sqrt(4)*-2) - sqrt(2)).\nAnswer: 14*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*p. Let q be p\/4*1*-12. Let t = 8 + q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 13*i**2 + 11*i + 13. What is y(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/5 - 148*l**2\/5 + 1192*l\/5 - 352.\nAnswer: -4*(l - 5)*(l - 2)*(l + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4)*h**0*h*h)\/(h*h\/(h**(-3)\/h)*h)**48)**(5\/3) assuming h is positive.\nAnswer: h**(-1690\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.929255 times 48?\nAnswer: -332.60424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -4*o + 193, -s - 57 = 11*o - 21 - 81 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(30)\/sqrt(3)) + (sqrt(931) - (0 + sqrt(931)) - sqrt(931))**2.\nAnswer: sqrt(19) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 0 - 36*v + 0 + 7*v + 26*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41789525.7 rounded to the nearest one thousand?\nAnswer: 41790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4100*n + 203. Let l(a) = -1025*a + 54. Give -15*l(t) + 4*u(t).\nAnswer: -1025*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 16*w**2 - 12*w + 8. Let v be x(-15). Let d = 648 - v. Let t = -697\/3 + d. Is t greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/50 - (-1 - (-33)\/(-15)). Suppose n - 5*n - 1604 = -3*c, 0 = 4*c + y*n - 2147. What are the prime factors of c?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -44. Suppose 0 = 4*j - k*p - 959, -958 = -4*j - 3*p + 5*p. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 198 (c) 2260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/5*1)\/((-3)\/15). Solve -g - 13 = -a*q - 2*g, 0 = -4*q - 5*g + 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlg when three letters picked without replacement from {x: 1, l: 3, g: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 9*y + 5. Let k(u) = -4 - 3*u**2 + 2*u**2 + 8*u + 2*u**2. Suppose 269*b - 78 = 256*b. What is b*z(j) + 7*k(j)?\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102241441 (base 5) in base 16?\nAnswer: 422de1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s = 6 + 41 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyp when three letters picked without replacement from pooyoyyyoyyyp.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u = -67828 + 67360 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1126184050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5090316*k**4 - k**3 - k - 120429938.\nAnswer: 20361264*k**3 - 3*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50579 is divided by 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 6 - 9 - 3*n - 3*n)*(27279*n + 26574*n - 55554*n).\nAnswer: 3402*n**2 + 5103*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + 12*o**2 - 10*o - 5*o**2 - 2*o in the form m*o**2 + r*o + w and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(171\/(-999))*(-12)\/144*4\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 8052 + 94*l**3 + 7876 + 107*l**2 - 184*l + 17*l**2 - 40*l**4 = 0.\nAnswer: -22, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/58 + 1\/29. Let f(l) be the second derivative of 2*l - r*l**2 + 0*l**5 + 0*l**4 + 0 + 0*l**3 - 1\/15*l**6. Differentiate f(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/162 and -16\/135.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20317 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w + 22*w - 242 - 37*w + 246*w**4 + 58 wrt w.\nAnswer: 2952*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + 88*g**2 - g + 114. What is the tens digit of l(-43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**36*z\/(z*z**(-2))*z**(-3\/2) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001243 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.9.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2348 + -3950. Let c = z + 2830. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.7041ns to seconds.\nAnswer: 0.0000000567041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1367*n + 345*n + 336*n + 340*n - 2 + 344*n.\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + -52369468\nAnswer: -52369468.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1096\/1233 + (-19)\/(-9))\/(3\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4422 in 2, -1\/9, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-8))\/(-18*119\/(-2448)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 3*z**2 + 10*z + 2. Let h(o) = -3*o**3 - o**2 + o - 1. Let b(a) = -2*h(a) - l(a). Factor b(t).\nAnswer: t*(t - 4)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 647217105 and 16260.\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50374?\nAnswer: 2, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37860 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120701? (a) 3 (b) 1\/2 (c) -2\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120980803 to the nearest integer?\nAnswer: 10999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4+-15435\nAnswer: -15439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14514 (base 10) to base 5\nAnswer: 431024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6092711014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/130 and 43\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501896.\nAnswer: 2, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(196)\/(sqrt(21)\/sqrt(3) + sqrt(7)) - (5 + sqrt(112)\/sqrt(4)))))**2.\nAnswer: 108*sqrt(7) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-14))\/((-233)\/(-1631)). Find z such that 2\/3*z + 0 - 2\/3*z**4 - 10\/3*z**2 + 17\/6*z**v = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179208?\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*q + 201*q = -73758. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 - 13*c**3 + 59*c**2\/2 + 42*c.\nAnswer: -c*(c - 3)*(c + 1)*(c + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42124 divided by -6?\nAnswer: -21062\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 7 = -2*w - 2*z, 0 = -2*w + z + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 21*i**2 - 83*i - 44. Calculate p(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (-2*sqrt(85) - sqrt(85))*-1)\/(sqrt(245) + sqrt(245)*2 + sqrt(245)) + 2 + 2)**2.\nAnswer: 8*sqrt(17)\/7 + 801\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcel when four letters picked without replacement from {c: 1, y: 3, l: 1, p: 2, w: 8, e: 1}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/10)\/((-6)\/(-20)). Let l(f) = -3 - 4 - n*f + 6. Suppose 0 = 2*i + 9 - 23. Let k(d) = -11*d - 2. Determine i*l(r) - 3*k(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/3 + 6\/(-9). Let g be 1\/(l\/(-2))*27\/(-9). Let t(y) = -2*y + 9. What is t(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 0*u**2 - 3*u**2)*(26 - 110 - 121)*(4*u**2 - 3*u**2 - 10*u**2).\nAnswer: -1845*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/456 and 127\/96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:04 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7817890 is divided by 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/((g\/(g*g**8))\/g)))*g**(1\/3)\/g*(g*g\/g**(2\/5))**(1\/23) assuming g is positive.\nAnswer: g**(3244\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3 + 3)*(-1 - 2*d + 1) - d**2 - 4*d**2 + 3*d**2 - 3*d**2 + 2*d**2 + 2 + 5*d**2.\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-0.05402.\nAnswer: 0.043216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 9. Let j be y(11). What is the closest to -2\/9 in j, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*s + 288.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*r = 10, -13 = -j - 5*r + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(121)*1)\/(2*(sqrt(11)*-1 + sqrt(11)) + (sqrt(11) - (-1*sqrt(121))\/sqrt(11)))*3 + -3.\nAnswer: -9*sqrt(11)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76)\/(-95))\/(28\/(-10)) + 666\/2772?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 12:26 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8) - sqrt(8)) + -5.\nAnswer: -6*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1161403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -5 (c) 1\/5 (d) 0.52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 1. Let n = 1 + -2. Let p(k) = 2*k**2 + 4*k - 92. Let i(t) = -t**2 - 2*t + 73. Let s(w) = 5*i(w) + 4*p(w). Determine n*s(z) + 3*m(z).\nAnswer: -3*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 12. Suppose 2*t = -76 + 436. Suppose -g = -w*g + t. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 25*k - 2032*k**2 + 15*k + 11*k + (5*k - 2*k - k)*(1 - 2*k - 1).\nAnswer: -2036*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76232567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 8 = -4*t, -4*b + 6*b + 7 = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 + -0.12.\nAnswer: 59.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 16. Suppose -b*k + 0*k = -10. Let t = 40 - k. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0825 to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - 0 - 52907\/(-1385).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 3*v**2 - 119*v - 496. Calculate n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440665155 by -217.\nAnswer: -2030715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30637 = -4*x, -2*u = 2*x - 4*x - 20420. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2 + 0 - 1 + 3. Let t be r(0). Differentiate -n**3 + 10*n**4 + 6*n**t - 15 + n**3 with respect to n.\nAnswer: 64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.9137 rounded to one dp?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*f**2 - 202*f**2 - 333*f**2 + 2*f**2 - 4*f**2 + f**2 + (-f + 0*f + 3*f)*(-2 + 2 - f) as a + g*f**2 + o*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/10 bigger than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 234*q**3 + 57*q**3 + 42*q**2 - 8 + 18*q**2.\nAnswer: -177*q**3 + 113*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l. Suppose -4*t + 16 - 4 = 0. Let f be (-13)\/(-4) + t\/(-12). Let d(k) = f*k - k + k - k. Give q(d(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - -7. Suppose 49 = 2*n - 29. What is the remainder when p is divided by n\/(-2)*(-24)\/36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*g**3 + 14*g**3 - 56*g**3)*(1 + 4 - 6) to r*g**2 + a + x*g + k*g**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 7\/5) + 1. Let l = -5 + 5.4. Let k = -1.1 + 1. Which is the closest to k? (a) -2 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*j + 5, -6*u = -3*j - 2223. Let c be ((-657)\/(-12))\/((-2)\/8). Let n = c + u. Is n a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 + 76*q**2 + 99*q - 962. What is s(39)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -3134?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 18 = -10*k + 17*k, -3*t - 3*k = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7872 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0. Let i = -0.1 + y. Let p = 665\/6 + -111. What is the second smallest value in 0.1, p, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8889 - -0.2281. Let l = 1.19 - g. Let v = l - 0.03. What is v rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 22 + 2 + 0. Let d be o(0). Let u be ((-6)\/(-4))\/((-6)\/d). Solve -4*t = -3*y - u, 3*y + 2*t = 4*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3332 (base 4) to base 7\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 3237863 = -3237770 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3. Let n(t) = -74*t**3 + 84*t**2. Let j(a) = -n(a) - 3*q(a). Find the third derivative of j(s) wrt s.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 102*d + 101.\nAnswer: (d + 1)*(d + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (1 - -3 - (72 + -69))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22908965 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(-202*a - 24779 - 10*a + 24775).\nAnswer: -424*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 143 + 5377*p**3 + 2*p - 5375*p**3 in the form i + s*p**2 + k*p**3 + d*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -20 - (4 - (3 + -2)) - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 121671 times 0.5\nAnswer: 60835.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:30 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3617 + 11887 = 24*p. What are the prime factors of p?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u - 1. Let z(s) = -17*s - 7. Let y(h) = 51*h + 20. Let r be 12\/(-30) + 38\/(-5). Let t(c) = r*z(c) - 3*y(c). Give -9*l(x) + 2*t(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5851?\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d0a2 (base 14) to base 13.\nAnswer: 68323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47d07 + -30?\nAnswer: 47cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/10)\/(18\/(-540)))\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 w when four letters picked without replacement from {m: 3, w: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19938848 + -5?\nAnswer: 19938843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17) + sqrt(68) + 1 + (sqrt(187)*3)\/sqrt(11).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/(-17)*(-1)\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -47019 divided by -1?\nAnswer: 47019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**2*b*b)\/b)**49\/(b**(-2)*b**(6\/7)))**(7\/8))**(-42) assuming b is positive.\nAnswer: b**(-7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 6\/5, -5\/7, -14, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (585\/105 - 2\/3).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84244000.\nAnswer: 2, 5, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 873275772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v. Find the second derivative of -2*q - 2*q - q**3 + v*q + 3*q wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2, 0 = -5*u - 274*o + 271*o + 23. Suppose 0 = 3*l - 7*l. Let f(x) = -x**2 + x + 14. Calculate the least common multiple of f(l) and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4374.318 - 4371. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Factor 2*u - u**f + 3*u**3 - 2 - 5*u**3 + u**3 + 2*u**2.\nAnswer: -2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398 - 388 + 214 + 570 - 1245*v**2.\nAnswer: -1245*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81782?\nAnswer: 2, 103, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 106*q - 3066. Let r be s(29). What is the greatest common divisor of 180 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*i + 3 + 15*i - 30*i)*(-2 + 3 - 2).\nAnswer: -8*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457237 plus -1.1?\nAnswer: 1457235.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -53010a - 68?\nAnswer: -530177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68.3 + -13.7. Let t = z + 81.53. Let a = 0.47 + t. Is a at least 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 30 (b) 3 (c) 2\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.40956ml to litres.\nAnswer: 0.08340956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*69\/(-138)*(-16)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43d0 (base 14) to base 3.\nAnswer: 121010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1797190 (base 10) to base 8.\nAnswer: -6666106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*s - 9*s - 37842. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19112081 and 19112080 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.328 and -1.\nAnswer: 0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 35557.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -211 - -228.7. Let i = 17.4 - b. Put i, 0.09, 0 in descending order.\nAnswer: 0.09, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.97398 + 2.97. Round q to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 2\/9, -6, 0.1, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -2. Let v(x) = x**2 - 82*x + 239. Let h be v(3). Solve 20 = -w*g - 5*t, -2 = -g + t + h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 896620.7 milligrams?\nAnswer: 0.8966207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -572, -569, -558, -533, -488?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -0.2, -0.03, 4\/2859?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*s - 41, -3*l = l + 4*s - 88. What is the greatest common factor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 71*p + 69*p - 147*p. Let a(n) = 3*n**2 + 0*n - n**3 - 4*n**2 + n. Let u be a(-1). What is b(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 9*g = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30122264 (base 7) in base 3?\nAnswer: 11200122211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8*b - 185. Find the second derivative of -37 + 6*z + b + 5*z**3 wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0.1, 184823 in increasing order.\nAnswer: 0.1, 29, 184823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 93923 times 4\nAnswer: 375692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 21*k**5\/5 + 309*k**4\/4 + 396*k**3 + 858*k**2 + 816*k - 718. Let h(r) = 0. What is r?\nAnswer: -68\/7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294)*3)\/(sqrt(72)*-3).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 - 1232 = 9*s. Let m = -93 - s. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 15*c - 5. Give o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:31 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*m - 16 = -2*m, 3*z - m - 10 = 0. Suppose 2*b - 6*w - 64 = -z*w, 2*w + 176 = 5*b. Does 36 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -384 (b) 4 (c) -0.2 (d) 0.3 (e) -3 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 185 and 55?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700)*3 + 0)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 - -4) - 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 390 - 252. Calculate the remainder when t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056243 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 17*t - 89 = 4*t, 48*p = 47*p + 3*t + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 14. Suppose 7*b + 399 - 497 = 0. What is the highest common divisor of b and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71)\/(-12) - (-94)\/1128?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*h**2 + 78*h**2 - 102*h**2 + 106*h**2.\nAnswer: 475*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + 157 - (3 - (-13 - -3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -1 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 33315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 52 = i. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f + 1203. Determine y(-119).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-4140)*(214 + -217).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 79703981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, i: 1, d: 2, m: 3}. Give prob of picking 1 i and 1 p.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6102673 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109583, -109585, -109587?\n\"Answer: -2*g - 109581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/5, 6\/19, 14.8152?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27.2602 * 0.05\nAnswer: -1.36301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*f - 5*y + 33, -32 = -4*f + 2*y. Let r be (-33)\/(-44)*88\/f. Let b(i) = -i**2 + 13*i - 33. Let s be b(r). Sort 1, s, -5.\nAnswer: s, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*a - 10954 + 3145. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6696704926 to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60582.\nAnswer: 2, 3, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2, -2*r = -2*b - 10. Determine p, given that -5*p**2 - 4*p**2 + 13*p**2 - 2*p**r - p - p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 395029\nAnswer: -59254.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - c**4 + 0*c**4 + (1 - 2 + 2)*(-c**4 + 4*c**4 - 4*c**4) - c**4 - c**2 + c**2 + 0*c**2 + 4*c**4 + 0*c**2 + (c**4 + 0*c**4 + 0*c**4)*(-1 - 1 + 4).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51440 and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-119)\/((-4403)\/592)*2\/56. Let u = 6\/17 + 94\/119. Suppose -2\/7*a**5 - k*a**4 - 2\/7*a + u*a**2 + 4\/7*a**3 - 4\/7 = 0. What is a?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 - 258*b**4 + 2972*b**3 - 4728*b**2 - 47808*b + 141696 = 0. What is b?\nAnswer: -4, 4, 6, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 1\/3*y**6 + 8\/3*y**3 + 0*y + y**2 + 8\/5*y**5 + 3*y**4 + 2. Find o such that v(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291075091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 + 11*s**3 + 4*s**2 + 18*s**3 - 27*s**3)*(-1 + 5 + 0).\nAnswer: -12*s**4 + 8*s**3 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*(b*b**(2\/5))\/b)\/b*b*b)*b*b)**(-4\/3)*b**(-1\/2)\/b**5)\/(b**(-2)*b*b**(2\/3)\/b*((b*b\/b**0)\/b)**(-27)) assuming b is positive.\nAnswer: b**(701\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - x = -4*x + 4, -x - 7 = -p. Suppose p*r = 5*f - 1675, f + 3*r = 35 + 280. List the prime factors of f.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+-507.4\nAnswer: -509.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1398 divided by 1398.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*-4*(-1 + sqrt(567)))**2.\nAnswer: -4608*sqrt(7) + 145404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*v**3*y - 635*v**3 - 6*v*y + 11*v + 2*y - 34 wrt v?\nAnswer: -84*v*y - 3810*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d. Let k(n) = 7*n + 5. Let s(y) = -3*y - 2. Let u(a) = 2*k(a) + 5*s(a). Give u(i(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2012 + 106?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 6 - 1)*(4 - 4 - k)*(-3*k - k + 2*k) as w*k**2 + i + y*k and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 394 - 338 = 929 + 687 for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:51 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -1986, -6691, -15854, -30963, -53506?\nAnswer: -84971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8257529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 + 105*p**3 - 230*p**2 = 0. What is p?\nAnswer: -23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 486*x**2 + 183*x - 146470. Give d(-485).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 2.81. Let w = g - -0.11. Let s = -824 + 820. Sort w, 4, s in ascending order.\nAnswer: s, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 + 216\/20)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/75 and 9\/10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*(-2)\/(-14))\/(121\/(-2541)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**4 - 21*g**3 - 21*g**2 + 165*g - 126 = 0.\nAnswer: -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 - 2012*i**2 - 21938*i - 47760 = 0. What is i?\nAnswer: -995, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 1844, 3037, 4670, 6893, 9856?\nAnswer: 13709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*u + 2*r + 6, 5*u + 6 = -3*r. Let o(i) = -i**3 - 4*i**2 - 4*i - 12. Let d be o(-4). Suppose -d*f - 8 = -u*f. Which is greater: -5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3 - 2653452*b**2 - 5306892*b - 2653444 = 0 for b.\nAnswer: -663361, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/54 (c) -0.5 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 17856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Suppose o*t - 3*f = 31, 0 = -4*t + f - 4*f + 25. Solve -4*i - 8 = -n, 2*i = -2*n + t*i + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 184 - 94. Let n be 438\/m + 2\/15. Solve -2*v + 3*v = n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -110*f**2. Let c(y) = 13*y + 2. What is c(v(i))?\nAnswer: -1430*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/146 in -5\/3, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 347 = 93*s. Solve 0 = -2*a - 4*n + 28, 5*n - 6 = a + s*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4187 is divided by 299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66)\/(-8) + (-12)\/48. Suppose n*f = 3*q + 5*f - 30, 3*f = -2*q. What is the remainder when 75 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 + 17 + 4 + 0 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - i - 3. Let t be p(-4). Calculate the least common multiple of (24 - t) + 3\/(-1) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a2 - 5?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2518.939 - 2520. Let l = p + 0.061. What is the second smallest value in 0, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2023, -1964, -1845, -1648, -1355, -948, -409, 280?\n\"Answer: 3*x**3 + 12*x**2 + 2*x - 2040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**32\/i**(-1\/6))**(17\/5) assuming i is positive.\nAnswer: i**(3281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/6, -3, 2, 7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -682 + 1457\/2. Calculate the common denominator of -109\/30 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 8) to base 10.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3355762697 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.1 - 7. Let v = p - 0.1. Let q be (2 + -1)\/1 - 1. Which is the smallest value? (a) q (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 4. Let u be o(-3). Let x = -8 + u. Solve 3*h = -x*h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0207848028 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244040481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 611\/4*d + 231\/4*d**2 + 165\/2 - 51\/4*d**3 - 1\/4*d**4.\nAnswer: -(d - 6)*(d + 1)**2*(d + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose 5*m + 5*c - 20 = 0, m = -2*m + o*c + 17. Suppose t - m*a = -a, 3*a = t - 3. What is the greatest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(153)*-2 + (sqrt(153) - (sqrt(153) - 1*sqrt(153)))*6)\/((-3*-2*sqrt(99))\/sqrt(11)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from fnnnnmnnfnfnfynyn.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 1366?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.3, 2577259 in increasing order.\nAnswer: -2\/5, -0.3, 2577259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786 is divided by 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*f, -4*b - 125062 = 4*f - 1130334. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**2 + 965*w + 650.\nAnswer: -5*(w - 65)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9*h = -35. Sort h, 0, 5 in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 8, t: 11}. Give prob of sequence tdt.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264720 divided by 40?\nAnswer: 6618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1394 and -51\/20?\nAnswer: 13940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*k - 2, 678*r - 676*r - 5*k = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from hhhrhhrhhhrrhhrrhh.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 839394 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 9*d**2 - 13*d + 23. Let j be y(10). Let f(x) = 4*x + 18. What is f(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9\/22 - -161\/286. Let p = -2\/1109 + 2228\/5545. Which is the second smallest value? (a) w (b) -1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*z + 175*z + 183*z + 0 + 0.\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*x - 4*x - 3*y, 6*y - 26 = 2*x. Let w = 20 - x. Calculate the remainder when 30 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59\/3, 3\/4, -4, -3.76 in decreasing order.\nAnswer: 59\/3, 3\/4, -3.76, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 8:56 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2186, 17477, 58976, 139787, 273014, 471761?\nAnswer: 749132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*h - 2*j - 0*j, -33*h + 3*j + 78 = -87 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5\/m*m*m\/m**(-7)*(m**(2\/7))**(2\/35))**(2\/63))**(-18) assuming m is positive.\nAnswer: m**(-12756\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*u**2 - 267*l**2 + 134*l*u**3 - u**3 - 52 wrt u.\nAnswer: 2*l**2*u + 402*l*u**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 13. Calculate the smallest common multiple of 7 and q(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 784 and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 8 = 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245662, 245617, 245558, 245479, 245374, 245237?\nAnswer: 245062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426*f = -20160 + 36774 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 38, 138, 344, 692, 1218, 1958?\nAnswer: 2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 449 times 0.3241\nAnswer: 145.5209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3428202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 30 (b) -70 (c) 0.3 (d) 2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 21. Calculate l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 3*n**2 + 3*n + 5. Let m be r(3). Let g = -57 + m. Calculate the remainder when 54 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 137. Suppose 37*u = n*u + 360. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 16739 = -2*o, -5171 = -d - o + 412. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2115 divided by -3.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4751288 - 526287. Suppose 0*t + 2*u + r = 5*t, 0 = -4*u + 8. Let x be 1 - 2*t - -1. What is x rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26\/49 + 12\/49. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 - 6*g + 6. Suppose a = -5*a. Suppose -5*z + a = -15. Suppose z = 3*b - 15. Let m(w) = -6*w**2 + 5*w - 5. What is b*m(u) + 5*o(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4) + -4 + -6 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -12. Let q = 10 + v. Solve -5*r - 5 = q*h, -12 = -5*h - 2*r - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963424840?\nAnswer: 2, 5, 7, 109, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12960\/702 + 33 + -51.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*s**2 + 2*c*s - 4914234*c + 54937874*s**2 wrt c.\nAnswer: s**2 + 2*s - 4914234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83\/76 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 2*s - 2. Let i be x(-5). Suppose 134*k = 127*k + 280. Calculate the highest common divisor of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951 a factor of 8052609286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14216277 and 2967?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j + 5*s + 35 = 0, -s = 2*j + 1. Let g be 11\/33 - 0\/j. Factor 1\/3*r**5 + 0*r + 0 + 1\/3*r**2 - 1\/3*r**4 - g*r**3.\nAnswer: r**2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 24. Suppose -5*h + 60 = 5*r, -5*h + 5*r = 78 - 188. Calculate the highest common factor of y and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(125) + sqrt(125) + sqrt(125)*1 + sqrt(125)))**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -67. Suppose 0 = 2*n - h, 0 = -2*i + 6*i - n - 208. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 - 1)*(561*a**2 - 2*a + 357*a**2 + 578 - 579) in the form r + h*a + x*a**2 and give x.\nAnswer: -5508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 0.1 (c) -0.4 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6*x**3 - 1952*x - 1 + 1983*x.\nAnswer: 6*x**3 + 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 968 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5 + (-1 - (-6 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-13 - (-14 + -23 + 15)) + -9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-6))\/(2\/(-4)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*o**2 + 301*o**2 + 2315*o**2.\nAnswer: 1981*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.26 - -0.26. Let l = 66 + -66. Which is the third smallest value? (a) x (b) -13 (c) -0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a82 + 0?\nAnswer: -1a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 623*y**2 - 1905*y + 134. What is m(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 8:03 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6*(4\/8)\/((-2)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*t + 38, 23 = 2*g + 3*t - 11. What is the remainder when 49 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-80)\/(-32) + (-15)\/6. Let k = 19 - -6. Let n be 4\/(-14) + 37\/7. Solve n*h - k = -o*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7466?\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)*m)\/(m*m\/(m**8*m)) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 856.8 - 872.8. Let l = 0.38 - 0.08. Let p = -0.5 + l. Which is the nearest to w? (a) p (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.7873589ms to weeks.\nAnswer: 0.00000005751878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-8)\/32*(-14)\/(-6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 14) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 2*d. Let v be g(2). Suppose r = -3*r - 16, -h - r = -1. Put -2, v, h in decreasing order.\nAnswer: h, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 0 - 6*p - 3 + 3*p + 6*p**2. Let c be 76\/18 - (136\/36)\/17. What is the units digit of b(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 26*f = -1080. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 + -3 - 3) - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 21*b**2 - 22*b - 33. What is x(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let u(f) = -22*f + 4. What is -2*k(o) - u(o)?\nAnswer: 24*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)*(y**(-1)\/y*y*y)\/y*(y**(-1\/5))**28 assuming y is positive.\nAnswer: y**(-193\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 12 = 2*x. Suppose 3*v = -5*h - 2*v + 65, 2*h - 28 = -x*v. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64031 - -33?\nAnswer: 64064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 5*y + 4, -3*t - 2 = -y. Suppose 4*s + 2*r - 4*r + 14 = 0, s + 5*r - 24 = t. Which is bigger: 1\/28 or s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 - 58*b + 60 = 0?\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 14*m**2 - 15*m + 13. Let s be n(-8). Solve -3*w = s*j + 10, 3*j + 0*j + 6 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 2*p + 3. Let q(c) = -c - 31. Let k be q(-33). Let b(a) = 2*a**2 + a - 2. Give k*x(s) + 3*b(s).\nAnswer: 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506855?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l**5 - 2*l**4 + 520*l**3 - l**2 + 1242*l + 49.\nAnswer: 80*l**3 - 24*l**2 + 3120*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -21 (c) -4 (d) 4 (e) 10851.52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/85)\/(78\/10608).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1617294 and -0.5?\nAnswer: -808647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -16. Solve -3 = -a + 2*p, 5*a - d*a - 5*p = 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000355528 rounded to six decimal places?\nAnswer: -0.000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 19855?\nAnswer: 39710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.62. Let n = 0.0416 + -0.0616. Let i = a - n. Sort -1, 0.1, i in descending order.\nAnswer: 0.1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006270277 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 76 - -23) + 11 + (0 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5659921 to the nearest integer?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - j - j + 4*j - 3*j + j + (0*j - j + 2*j)*(2 - 5 + 5) + 0*j + 2*j + 0*j + (2 - 1 - 2)*(-2*j - 2*j + 5*j) + 0*j - 3*j + 0*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920194 - 32273 - 191828 = -21976*d - 23519 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/1864 and 2\/699?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.3133 millilitres in litres?\nAnswer: 0.6423133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30826913 divided by -29.\nAnswer: 1062997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 39. List the prime factors of p(-13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8. Let k(p) = -2*p - 19. Let r(c) = 2*k(c) - 5*m(c). Let d(x) be the second derivative of x**3\/3 + x. What is r(d(z))?\nAnswer: -8*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 0, -6*j + 64 = -j + 2*i. Calculate the remainder when 48 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1471.\nAnswer: -441.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3353954 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3474857204?\nAnswer: 2, 7, 13, 23, 47, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12768 - -12766. Let a(s) = 27*s - 10. What is a(k)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/40303 + -3506309\/2095756. Find the common denominator of -83\/10 and a.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 7*t - 8. Let i be h(-9). Let z be (56\/10)\/((-3)\/((-90)\/4)). Let d = z + -34. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*g - 212*g = -98*g - 9210 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*4\/(-8)*-14. Suppose 69*n = 100*n - 2170. What is the highest common factor of t and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 33*r**4\/4 - 19*r - 41. What is the first derivative of n(d) wrt d?\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2.02. Let n = b + 0.18. Let r = -1.76 + n. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12544*k**3 + 14076*k wrt k?\nAnswer: -75264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 5)*(0 - 4 + 2) + 1 + 3 - 3 + (1 + 1 - 4)*(-5 - 2 + 5))*(2 - 2 - x)*(3 + x - 3)*(2*x**3 - 2*x**3 + x**3).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clltzwdwwctdtwwwclc. What is prob of sequence zwcc?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 - 13*h**2 - 3*h - 58. Let s(l) = 10*l**3 + 40*l**2 + 9*l + 175. Let q(o) = -7*g(o) - 2*s(o). Is q(-9) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(121\/20 + -3 - 3). Let d be (-5)\/(n\/8) + (-21)\/12. Which is the biggest value? (a) 0.4 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96567479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 5) + (9 - ((-18 - -38) + 5))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g + 15. Let l be k(6). What is the greatest common divisor of l and 819?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-3)*9\/(-9). Let o(z) = 187*z**3 + z**2 + 6*z + 3. Is o(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 7*o - 8*o**2 + 3*o**3 + 2*o**3 - 3*o**3 + 2. Let w be k(-7). Is w\/11 - 36883\/(-121) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9382 and 9384 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adt when three letters picked without replacement from {q: 1, t: 2, c: 1, a: 2, d: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1588441 and 3.\nAnswer: 1588444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 2*t)*(0*t - t - t) - t**2 + t**2 + 6*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5334.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/25, 1677, 0.02, 1\/13, 3\/4?\nAnswer: 1677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 27*l. Let d(f) = 11*f. Determine b(d(g)).\nAnswer: 297*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142747*r + 142747*r - 5529*r**2 to the form n*r**2 + o*r + z and give n.\nAnswer: -5529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 573174 and 987133?\nAnswer: 17768394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:27 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/40*(35\/9 - 4). Let d(q) be the third derivative of -g*q**4 - 13\/60*q**5 + 0*q + 13*q**2 + 1\/6*q**3 + 0. Determine d(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -148.2 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**3 + n**2 - 32*n - 3. What are the prime factors of l(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, -13*b - 536 = -14*b - 4*t. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - -5) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -10) + 2*1. Suppose -2*t = t - c. Suppose -15 = -4*a + 3*d, 0 = 2*a + 2*d - 1 - t. Solve a*u = -3*r - 18, 5*r - 4 = 5*u + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + 10\/14. Let b(i) = 10*i**2 + 8*i - 35. Let w be b(9). Let l = w + -844. Solve -l*q + 2*q = u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26077 - 130364\/5. Factor -6\/5*t**2 + 66\/5 - y*t.\nAnswer: -3*(t - 2)*(2*t + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 44*v - 154. Let d be m(-6). Solve -5*r - p = -21, 2*p - 7*p + 13 = d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -9) + 0 + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23339, -48, 1.8 in increasing order.\nAnswer: -23339, -48, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 975448.6 years?\nAnswer: 9754.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 56047?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -901*i. Let z(u) = 137*u. Determine a(z(y)).\nAnswer: -123437*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 13*c + 17*c = -46, 9*g - 11*g + 46 = -21*c for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeqnkl. What is prob of sequence qne?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1893.511 and 2.\nAnswer: 3787.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -22*q**2. Let h(k) = -3*k**2 - 2. Let b(p) = -7*p**2 - 5. Let a(o) = -2*b(o) + 5*h(o). Calculate a(v(c)).\nAnswer: -484*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 20*r - 14. Let l be o(19). What is the third derivative of -280*g**4 + 14*g**6 + 280*g**4 + 3*g**l + 3*g**2 - 2*g**5 + 3 wrt g?\nAnswer: 1680*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 77*m + 935. Calculate the remainder when 452 is divided by i(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u + 486 = 3*q, 5*q = -5*u - 1165. Let v = u + 163. Is (3 + -4)\/(1\/v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6699 and 244846536.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 8. Let b = z + -23. Is -4 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -x + 9. Suppose 0 = -x*o + 53 - 44. Solve 0 = -5*q + 8 - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0*l**3 + 0*l - 169*l**2 + 173\/120*l**6 + 31\/20*l**5 + 0*l**4 + 0. Find the third derivative of z(p) wrt p.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -4*x + 9*a + 4*a, 16 = -x + 5*a - 70 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125584*f*u*w**2 + 20*f*u + 4*f*w**2 - 2*f - 4*u*w**2 - 72*u*w + 8*w + 1 wrt w.\nAnswer: -251168*f*u + 8*f - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (483 - 470) + 3 + 19.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 4*s**3 + 3*s**2.\nAnswer: s**2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -2\/11, 1\/30 in increasing order.\nAnswer: -0.4, -2\/11, 0, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279175270?\nAnswer: 2, 5, 11, 727, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-50))\/((-8)\/70). Let h be 4\/5 - (0 + 0). Let w = l - h. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 785, 1558, 2317, 3056, 3769, 4450, 5093, 5692?\n\"Answer: -u**3 - u**2 + 783*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 187*r**5\/15 - 43*r**2 + 9*r. Let c(f) = 2*f**2. Give g(c(m)).\nAnswer: 2992*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1872 + -1876. Sort l, 2\/9, 408\/5 in decreasing order.\nAnswer: 408\/5, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -461 + 460 + 0\/2 + (-106)\/(-102)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933 = -4*n - 1467. Let u = n - -864. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*sqrt(12)*-3 + (sqrt(3) - sqrt(36)\/(sqrt(12) - (sqrt(12) - 3*sqrt(12))) - (sqrt(363) - sqrt(363)*-6)).\nAnswer: -157*sqrt(3)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 11:26 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 95014029 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7358, -4, 3 in ascending order.\nAnswer: -4, 3, 7358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93134045 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*sqrt(78)*2)\/((sqrt(42)*-1)\/sqrt(7)) - -6*(-4 + sqrt(1573)*-2 + sqrt(1573))).\nAnswer: -222*sqrt(13) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s*s\/s**18)\/s*s)\/s*s)\/s*s)\/s**7)**(-2\/57))**23 assuming s is positive.\nAnswer: s**(1058\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -279, 5, 2\/29, -3\/5, 0.1, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3\/3 - 9*q**2\/2 + 6*q - 4. List the prime factors of m(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -943 at least -943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 0. Let j = -5.03 - v. Let o = 468 + -468.2. Is o smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 22 (b) -6.3491 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 5*u + 5*b + 16, -8 = 2*b. Let y(h) = -157*h + u + 332*h - 221*h. Let g(l) = -2*l. Give g(y(x)).\nAnswer: 92*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.091 - 15.909. Let v = n - -16.3. Which is the nearest to 1? (a) v (b) 2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 16*c**2 - 15*c - 9. Give n(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*v + 1154*v = -84*v - 139628 for v.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1256985 and 139\/174469518?\nAnswer: 872347590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.9 and 12.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 <= 4020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l - 8 = 2*m - 35*l, 0 = 3*m + 5*l + 12. What is the nearest to -2\/5 in -0.4, 2.3, 2, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 - 10)) + -6 + 10 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-312)\/(-65))\/(4\/40*1*4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0 - 1 = 0, -15670*r + 15655*r - 2*a - 492 - 31 = 270 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45\/40 + (2 - (1 - -2))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let b(z) be the third derivative of -7*z**4\/24 + z**3\/3 + 19*z**2 - 5. Determine b(d(l)).\nAnswer: -21*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + -1.21. Let d(f) = f**2 - 6*f + 6. Let g be d(2). Are h and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*g + 4*t + 9, -5*g - 7 = 2*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 277*q**2 + q + 1. Let l(x) = -1020*x + 507*x + 518*x. What is l(r(j))?\nAnswer: 1385*j**2 + 5*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 27*s**2 + 182*s + 4. Let c be f(-13). Solve 0 = -j - c*g - 11 + 6, -g - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.00433 or -1629?\nAnswer: -1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 12. Suppose -5*f + x - w = -3*f, -3*x + 2 = 2*f. Which is greater: -6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 14*z - 12752. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*44\/(-15400))\/(10\/(-28)*-1)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3844.332cm to nanometers.\nAnswer: 38443320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 21215004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1645.5 and 6938534.\nAnswer: 6940179.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2894657 - -1504657. Round h to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -96042875?\nAnswer: -96042875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**3 - 21*c**2 + 116*c - 1008. Let w be p(8). Solve -31*d + w = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/7, -41\/4, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5) + -4 + 2 - (-2 - -33).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400.999999803 - -401. Round i to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13*t = 11*t - 63, -4*t = -4. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 407, 839, 1281, 1733, 2195, 2667?\n\"Answer: 5*w**2 + 417*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10146406*g. Let s(q) = -q**2. Calculate j(s(m)).\nAnswer: 10146406*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(3\/54)*(-2169)\/149661?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 237*l - 1370 - 943 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25506439313930 and -7.\nAnswer: 25506439313923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y + 11*y + 23*y to k + v*y and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4321*u**3 - 2*u**2 - 36*u - 35. What is the units digit of o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgsssggsggssisisssg. Give prob of sequence iggi.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951*n = 6324 - 2422 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 11*v + 48. Let j be g(-14). Solve j = -10*b + 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, -1\/11 in decreasing order.\nAnswer: 1\/4, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28 - 3*(-2)\/3. Let i = 59 + g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242195 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -375 + -46?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21590801.\nAnswer: 179, 120619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226190?\nAnswer: 2, 3, 5, 7, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bvbbvb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-8\/3)\/(y*y\/(y*y**(2\/21)))*(y*y**(-1\/13)*y)\/(y*y**(11\/2)*y) assuming y is positive.\nAnswer: y**(-1665\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -43 (b) 4 (c) 15 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxbrxweerxeer. Give prob of picking 1 x and 1 e.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/17 (b) 7398 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -4*w. Suppose 3*b + 93 = -w*b. Let r = 44 + b. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 14 + 11 + 3*j + 3*j**2 to the form m*j**2 + y*j + h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 3987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:02 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:29 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -799, -813, -851, -925, -1047, -1229, -1483?\n\"Answer: -2*p**3 - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276 and 10281.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -86246 - -1877?\nAnswer: -84369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 4*a - 3. Suppose 0 = 5*y + 27 - 2. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2646\/11907)\/((-2)\/(-3)))\/(2\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from elkhfekeeh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(1728) + -2 - sqrt(1728)*2*5 - (sqrt(1728) - (3 + -2*sqrt(1728) + sqrt(1728)))*3)**2.\nAnswer: -22848*sqrt(3) + 1997764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222848433?\nAnswer: 13, 170988341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 166 = -29571*d + 29566*d, 2*d + 2*a = -66 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*m + 3*g, 5*m - g - 15 = 5. Suppose 0 = -x - m*o + 561, -6*o + 3*o + 2817 = 5*x. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoavoa. Give prob of picking 1 o and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -31*s - 4. Let z(m) = 156*m + 21. Let x(p) = 2*p**3 + 12*p**2 - 3*p - 7. Let o be x(-6). Determine o*k(g) + 2*z(g).\nAnswer: -29*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**5 + 7484*v**4 + 14980*v**3 + 7492*v**2.\nAnswer: -4*v**2*(v - 1873)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18923, -36561, -54211, -71879, -89571, -107293?\n\"Answer: -x**3 - 17631*x - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyy when three letters picked without replacement from bybaxjbibbbibjyby?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*t - 22, 3*g - 4*t - 425 = 410 - 861 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/17520 and 61\/19272.\nAnswer: 192720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -79761*h. Let n(i) = 9*i - 4. What is n(b(t))?\nAnswer: -717849*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7\/2))**3)**(-31) assuming c is positive.\nAnswer: c**(651\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u - 1. Let v(a) = -2*a**2 - 7*a. Let y = 5335 + 2321. Let b(g) = y - 4*g - g**2 - 7656. Let x(o) = -7*b(o) + 4*v(o). What is x(k(c))?\nAnswer: -169*c**2 + 26*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose 2*w - 3 - 5 = 0. Suppose 0 = -d + w*d - n. What is the highest common factor of d and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 209, 2, 1, -9, -0.1, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/22 - (124\/44 + -3). Solve 4*a = -4*u - o, 5*u + a = -0*a + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 5}. What is prob of picking 2 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*c - 29, -z + 4*z = -5*c + 10. What is the remainder when (-16)\/36 + (-5075)\/(-261) is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 9, 1.1, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/6 + 787*r\/6 - 9230 = 0. Calculate r.\nAnswer: -852, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 23. What is the closest to v in 1\/2, -8, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.4 times -0.1884?\nAnswer: 52.63896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -494, -549, -604?\n\"Answer: -55*j - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.7 - 29. Suppose 0 = -4*k + 20, 19 = 4*r + k - 6. Put r, -5, t in decreasing order.\nAnswer: r, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y - 46*y - 42*y to q + z*y and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + r + 9, -5*r = -5*z + 5. Let j(k) = k**2 - 3*k - 9. Let v be j(z). Let h(y) = y**3 + 4*y**2 - 6*y - 4. What is h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**3 + 2*b**2 + 144*b + 3. Let z(u) = u**3 - u**2 - u. Give -r(f) - 2*z(f).\nAnswer: 3*f**3 - 142*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-1)\/(-3)). Let s = -22 + 24. Suppose -2*t + 3*l = -18, -s*t - 4*l = -0*t - 4. Solve -9 = -h*g + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2093713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 44.2\nAnswer: -13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/120 + q**5\/30 - q**4\/4 - q**3\/3 - 54*q**2. Give d(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568684359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 7771.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 + 138. Suppose -7*j - 2*s + k = -2*j, 0 = 5*j - 4*s + 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22, -6, 174, 644, 1530, 2958?\n\"Answer: 21*h**3 - 44*h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 5972*o.\nAnswer: -4*o*(o + 1493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2)*(8 - (-657)\/(-90)). Let f(y) be the second derivative of i*y**5 + 40\/3*y**3 - 8*y - 16*y**2 + 26\/3*y**4 + 0. Let f(o) = 0. Calculate o.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.19787 millilitres to litres.\nAnswer: 0.00919787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 35.8. What is the closest to -11 in -5\/3, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 54909*u - 604005. Determine n(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -49, -2\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 7. Let l be t(-5). Suppose -2 = l*n, -2*b - 2*n = -5*b + 2. What is r in 2\/5*r**3 + 2\/5*r**5 - 4\/5*r**4 + b*r + 0 + 0*r**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4441367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p, 2*p + 16 = -3*r - 0*p. Let x be 2615\/4917 + (-5 + r - -5). Let n = x - 7\/149. Find the common denominator of -157\/30 and n.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3 - -3) + -822 + 726.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-16)*22 - -8. Let n(s) = -s**2 + 5*s - 3. Let t be n(6). Sort k, 3, t in ascending order.\nAnswer: t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r - 101*r**3 + 107*r**3 - 18*r.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 126*i**2 - 303*i**2 + 4.\nAnswer: -177*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/26)\/(18\/60). Let u(j) = -30*j**2. Let l be u(-1). Is (-179)\/w - 6\/l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 divided by -4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*72\/(-48)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5772 = 59*p - 72*p. What is the lowest common multiple of 2 and p?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3*x**2 + 614*m**2*x**2*y**2 + 1834*m*x**2*y**2 - m*x*y**2 + m*y**2 wrt m?\nAnswer: 12*m*x**2 + 1228*x**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -167.256 (b) 33 (c) -0.07 (d) 0 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51\/12)\/(3\/36). Suppose -3*z + 36 = -o. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2142837 divided by -714279\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = b, 0 = -2*b - y + 6 + 4. Solve 0*u = -2*u + 3*o - b, -u - 5*o + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 662 in -0.5, -0.3, 0.5, -2\/33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*4*6\/(-24).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3438195 - -3.584.\nAnswer: -3438191.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 14*t - 46*t + 15*t + 17*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.21 + -4.69. Let l = -387 - -390.9. Let k = h + l. Sort 0.2, k, -3\/2.\nAnswer: k, -3\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 3\/7 (b) -4 (c) 2\/107 (d) 4 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b - 56. Let z be l(-10). Determine r, given that -11*r - 20*r + z*r**2 - 16 + 37*r - 18*r = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18882 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/28 + (-65)\/(-175). Let g = -6396 + 6396.4. What is the fourth smallest value in g, j, 13, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152409, 304831, 457249, 609663?\nAnswer: 762073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 394 - 394. Which is the second biggest value? (a) -4\/29 (b) -2\/7 (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 44*o. Let m(l) = 5*l. Let b(q) = 52*m(q) - 6*y(q). Let t be b(-1). Differentiate 5*j**4 + 6*j**4 + 5 - 7*j**t wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + 3 + -6 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182837 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -5, -54, -0.08, -3\/5?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, f: 7}. What is prob of sequence bf?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:07 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6) + (-303)\/9 + 31.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -23*f**5 + f**4\/2 + 214*f + 131. What is the first derivative of c(t) wrt t?\nAnswer: -460*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745071143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from rppr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 11*p - 15. What is v(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462\/70*(-60)\/(-504)*-2.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/9 - 32\/144.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -56*c + 4. Let a(x) = 114*x - 7. Let i(z) = -6*a(z) - 10*s(z). Differentiate i(m) with respect to m.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8*s = 0. Suppose s = 2*o + 6*o - 936. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, 102, -3, 0, -4 in decreasing order.\nAnswer: 102, 0, -3, -4, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4620659?\nAnswer: 41, 251, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -83496 divided by 6958\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + -7011.\nAnswer: -7010.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10374\/7 + (-45)\/(-5)?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47069.02s in microseconds?\nAnswer: 47069020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-4\/5))*u)\/u**(-1\/2)*(u\/(u**0\/u))\/(u**(-1\/3)*u) assuming u is positive.\nAnswer: u**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -6*j + 1883. Let z = -282 + j. Solve 30 = 5*c - 4*v, 6*v - z*v + 16 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 55 = -5*y, -5*m = -y - 19. Let f(x) = x**3 + 8*x**2 - 9*x + 7. Calculate the lowest common multiple of f(y) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, c: 3, n: 1, t: 2, r: 7, d: 2}. Give prob of sequence cf.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t - 20. Calculate the least common multiple of 6 and z(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.1228 and -0.04.\nAnswer: -0.364912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*g - 3*s, g - 5*s + 8 = -3. Suppose -h + 211 = g*k, k - 2*h - 55 = -0*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.166, 0.1, 14?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 - -27889.74497?\nAnswer: 27890.94497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -45 + 4*c - c + c + 55 - 15 - 5*c**2. Let w(f) = 11*f**2 - 9*f + 9. Calculate -9*v(i) - 4*w(i).\nAnswer: i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38405, -78192, -117979, -157766, -197553?\nAnswer: -237340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 272629985 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4) - 1)\/1. Let x = -0.0893 - -0.0412. Let v = 7.0481 + x. Which is the third smallest value? (a) 3 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 853*m + 32. What is the units digit of o(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78494 - 276.3\nAnswer: 78217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-11 - (12 + -10 - 7)) + 0 + 23\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 81475?\nAnswer: 733275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 16. Let z = -2 - o. Suppose -4*h - 44 = -z*h. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.16 + 8.16. Let x = j - 8. Let d = -3.01 - -3. Is d <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -13*y - 37. Calculate w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669492397683661 + 0.\nAnswer: 669492397683661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1823 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 33 = 306. Let s = c + -113. Solve s = x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43641406049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**2 + v**3 - 8*v - v**2 + 4 + 11*v**2 - 6*v**2. Calculate the remainder when 16 is divided by h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 + 181 - 257 = -16*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12)\/a)\/a**(-3\/2))**(1\/17)\/((((a\/(a**(1\/13)*a))\/a)\/a*a**8*a)\/(a**(-2\/5)*a**(-7))) assuming a is positive.\nAnswer: a**(-33149\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 41*q - 589. What is b(-44)?\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzpgkppkppzkku. What is prob of sequence kukz?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000727751 to 5 decimal places.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 25214*w**3 + 2*w**4 + 4*w**2 + 135 - 4*w**4 - 2*w - 7*w**2 - 25215*w**3 as v*w**3 + j*w**4 + a + q*w + n*w**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*o - 3. Let s be (-15)\/(90\/44) - 1\/(-3). Let j be (-9 - 12)\/s*(2 + -1). Solve 0*g = o*g + j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2515880.\nAnswer: 2, 5, 62897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3562 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925140423 + 925140423 + 92*w**3 + 2*w**2.\nAnswer: 92*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 898176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 30*d + 61. What is g(28)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.9 and 1?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 6*a + 5*n + 4, a + 3 = -0*a + 3*n - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = h - 2, -2*h + 36 = 4*t. Let j = 35 + h. Round j to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -3*o. Let p(a) = -3*a**3 + 4*a - 1 + 2*a**3 - 4 + o*a + 5*a**2. Suppose 0 = 3*q - 2*q - 6. What is p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20955 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1440761657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14*r**14)**(-18) assuming r is positive.\nAnswer: r**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiq when three letters picked without replacement from ijstq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1 + 13*p**2 - 26*p - 12*p**2 + 20*p. Suppose -5*m = -10*m + 125. Suppose -4*j - j = -m. Determine i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 - 2*w**4 - 2*w**4 + w**4 - w**4 - w**4 + (w + 3*w - 3*w)*(4*w**2 + 20*w**3 - 4*w**2).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 29840\/320 + 2\/((-8)\/5)?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 3*u - 7*u + 16. Let t be x(12). Suppose p - 80 = -t*p. Calculate the greatest common factor of p and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 5*x**3\/3 + 25*x**2 + 45*x - 42. Suppose i(t) = 0. Calculate t.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 5, 19, -98 in descending order.\nAnswer: 19, 5, -68, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5f57d (base 16) to base 5\nAnswer: 44444100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -2 - (6 + -9 + 20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1 - 0) + 2. Suppose -f + 30 = -8*t + 4*t, -v*f - 3*t + 58 = 0. What is the greatest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and 3.74877?\nAnswer: -344.88684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -277, -742, -1403, -2266?\n\"Answer: -q**3 - 89*q**2 - q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 6, l: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 891979 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m**2 + 3*m**2 - 3*m**2)*(-3 + m + 3)*(6 + 0 - 3) - m**3 - 10*m**3 - 28*m**3 - m**3 + 0*m**3 + 2*m**3 as o*m + y*m**2 + z + h*m**3 and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 - 26052*c - 260220 = 0.\nAnswer: -8674, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -21.45.\nAnswer: 729.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 55683?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-21931\nAnswer: -87724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 328128149 to the power of 1\/2, to the nearest integer?\nAnswer: 18114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 701?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135)*-10*((-3)\/(-16))\/(-3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-4213591\nAnswer: 1264077.3","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -1262\/13 + 248407\/2574. Calculate the common denominator of -23\/220 and d.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4570\/16 - 69\/(-184). Let z be ((-24)\/1692)\/(t\/(-36229)). Let f = z + -1\/517. Calculate the common denominator of -13\/6 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73991758 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*l = -2268 - 1428 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(121))\/(sqrt(33)\/(sqrt(6)\/sqrt(2))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45368675 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 5*b + 2. Let x be z(7). Let d be 8\/x - (-4)\/(-3). Let y(r) = 0*r - 2 + 3 + 2*r. Determine y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -12*g + 8*g + 72, 0 = 2*g + 5*b - 52. What is the greatest common factor of 256 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -39\/4*j**4 - 21\/2*j**2 - 12\/5*j**5 - 15*j**3 + 5 - 3*j. Suppose f(a) = 0. Calculate a.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*o - 18*o**2 - 118*o - 12*o**2 as k*o**2 + u + q*o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y + 2*y)*(-1 - 1 - 2).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 6. Let c be k(6). Let t(u) = 33*u + 5. Let f be t(c). What is the second biggest value in f, 0.032, 0?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 - 3 = 0, -4*p = -3*d + 78. Let q = -5 - p. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -702 - -478. Let f = 234 + s. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.57754+-134\nAnswer: -135.57754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 755.25 - 500.28. Let o = n - 244.1. Let j = -82.77 + o. Round j to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -69 - ((28 - (15 - -3) - 20) + 14)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 2 + (2 - 2). Let v be (3\/(-2))\/((-4)\/(-16)*-39). Which is the nearest to 1? (a) o (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmy. Give prob of sequence ym.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 12*s**2 - 107*s**3 - 4*s**2 + 105*s**3 to the form p*s**3 + z + j*s + r*s**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*z - 88132, -36*v + 32*v - 6*z + 176240 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.119 - -0.1105129.\nAnswer: -61.0084871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11401938 and 1539?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*-3*(-2)\/6. Let t(i) = i**2 + 4*i - 12. Let k be t(u). What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**20)**(-20)*w**(-4\/21)*w**(-17)*w assuming w is positive.\nAnswer: w**(-8740\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + sqrt(12) + 3 - (-6*sqrt(9)\/sqrt(3) + sqrt(3))) + 2 + sqrt(9)\/sqrt(3) + sqrt(3) + (sqrt(6) + sqrt(96))\/sqrt(2) + -3)**2.\nAnswer: 64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37350393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-1)\/(-3)*0. Let j(x) = 5 + 4*x**p - x**2 + 7*x - 4*x**2. Is 3 a factor of j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {c: 4, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/16 + 11 + -5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*t - 4 - 11, 4*t = -3*r + 1. Let g be -5*(t + (-676)\/170). What is the third biggest value in -3, 1, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**26*w\/w**10)**(-1\/46) assuming w is positive.\nAnswer: w**(-17\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 + 44 = 85*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6523*l + 503800 - 503800)*(-l**2 - 4 + 4) to the form d*l + p + x*l**2 + g*l**3 and give g.\nAnswer: -6523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -69. Suppose 0 = -56*r + o*r - 5040. Does 48 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -190\/43 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1216465\nAnswer: 4865860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 666*a**2 - 18658*a + 259. What is x(28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15946 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d - 2*i - 111, 4*i = 20. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/18)\/(60\/108)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16381262 - 1?\nAnswer: -16381263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h**(-22)\/h)\/h*h*h))*h**(-24) assuming h is positive.\nAnswer: h**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c + 0*c**3 - 5\/24*c**4 - 3\/2*c**2 - 8. Let h(q) be the second derivative of s(q). Let w(x) = 4*x**2. Calculate h(w(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*r + 2 = -2, -4*t = 2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/12 - -20*1\/(-16). Suppose 5*q - 2 = -7. Sort p, q, -4, -9 in decreasing order.\nAnswer: p, q, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 171 = 0, -3*i + l + l - 38 = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.276 not equal to 3.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 99489 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36 times 232833\nAnswer: 8381988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6006.657 rounded to the nearest 10?\nAnswer: -6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.998 - 1.598. What is the second biggest value in -0.3, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 34*c**2 - 5*c + 5. Let h(r) = 33*r**2 - 4*r + 4. Let y(x) = -5*h(x) + 4*u(x). Let l(n) = 2*n**2. Determine y(l(w)).\nAnswer: -116*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + 58 - (4 - 41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-123)*9\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 75*b. Let q(v) = 2*v. Determine -3*c(g) - 6*q(g).\nAnswer: -237*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 100 = 21*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 23 - (-13 - (-27 + -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.337, 7, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1067 and 1771286.\nAnswer: 171814742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 5*d**5 + (2*d**5 + d**5 + d**5)*(-4 - 2 + 4) + (3*d**3 - d**3 + 0*d**3)*(-1 - d**2 + 1).\nAnswer: -15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2448 and 408?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48431387, 48431386, 48431385, 48431384?\nAnswer: 48431383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 8. Let o be t(-9). Let h(d) = -13*d - 125. Let u be h(o). Solve -4*s = -u*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292*l**2 - 936*l**2 - 136*l**2)*(l - l - l**2) + 4*l**4 + 3*l**4 - 5*l**4.\nAnswer: 1366*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 + 27 = 3*r. Let j be (r\/12 - 4)*(-1 + 1). Solve 2*l + 2 = -j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2500*(-94 - (-6 + 0)). What is z rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3383 (base 9) in base 4?\nAnswer: -213021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 1. Determine u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c8 (base 14) in base 10?\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b + 37*b = -488 - 148 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 739*l**3*v**3*z**3 + 12*l**3*v**3 - l**3*v**2*z**2 - l**3*v + 8*l**2*v**3 wrt z.\nAnswer: 4434*l**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 3*c**2 + 173868 - 155288 + 559153.\nAnswer: -6*c**2 + 577733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/17, -5, -39708, -3\/2 in decreasing order.\nAnswer: 3, -1\/17, -3\/2, -5, -39708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 28 - 4 = 0. Let v be (x\/(-15))\/(3\/15). What is the first derivative of 0*o**4 + 2*o**v + 5*o**4 - 26 + 35 wrt o?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 80 = 4*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-2))\/((-1429)\/(-2858)*2\/19).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = o - 240, 0*n - n + 5*o - 60 = 0. Let p be 27\/5 - (-24)\/n. Solve 0 = -3*b - 10 - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l + 69. Let x be v(-8). Suppose -x*z - 21 = 4*q, 2 = 3*z - q + 1. Which is the biggest value? (a) z (b) -23 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6415926 nanometers to centimeters.\nAnswer: 0.00000006415926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 8 + 6*c + 6*c**2 + 2 - 4*c + c**3. Let z be r(-5). Let a(t) = 0*t + 3 - 4*t - 3*t**2 + 4*t**2 - z*t. Calculate a(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:27 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/984 and -23.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*((9 + 16 - 5)*(-3*u + 7*u - u) - u + 1 - 1)*(2*u**4 - 4*u**4 + 4*u**4).\nAnswer: -236*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m - 3*m - m**2 + 7*m - 2*m - 1 - 9*m. Let k(c) = 2*c**2 + 6*c + 7. Calculate k(l) + 6*y(l).\nAnswer: -4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5045101 in decreasing order.\nAnswer: 5, 4, -5045101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -42. Let n = -17 - z. Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/8 - 11*x**4\/4 + 5*x**3 + x**2\/4 - 41*x\/8 + 5\/2.\nAnswer: (x - 20)*(x - 1)**3*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -128 + -3?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 22.36062m?\nAnswer: 0.02236062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1539054608?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15390 - 3*g**3 + 2*g**3 - 15390.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 9, y: 1, p: 2, i: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*a**2*m - 2275*a**2 + 2*a*m**2 + 19350669*m**2 wrt a.\nAnswer: -238*a*m - 4550*a + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -0.3. Let s be 4 + -3 - (-702)\/7. Let o = s + -101. Is b smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 9*g - 7. Suppose 0 = -b, 8 = -2*o - 3*b - 0*b. Let v be (-166)\/24 + (-6)\/72. Let k(x) = -x**2 - 5*x + 4. Calculate o*z(c) + v*k(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224225*j + 916023?\nAnswer: -224225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 168*u**5 + 66*u**3 - 67963*u**2?\nAnswer: 10080*u**2 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/19, 84\/13, -16, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-7))\/(8\/(-56)). Let h(j) = 4*j**2 + 0*j**2 - 6*j**f + j**2. Let d(v) = -2*v. Calculate d(h(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 34921.47 decades?\nAnswer: 349.2147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -72\/385 and 137\/2671130.\nAnswer: 2671130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221898 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79705 is divided by 8704.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) - (-240)\/50. Let h(a) = -5*a - 2 + 2 + 2*a**2 + g. Let r be h(2). Is r at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60575976 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - b**2 + 2*b)*(-b - 4*b + b) - 13 + 16 - 3*b**3 + 7*b**3 in the form d + x*b**2 + i*b**3 + z*b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*z - 18 = 0, z - 67 = -3*w - 13. Suppose -5*j + 3*v - w + 54 = 0, -5*j - 5*v = -20. Solve 5*b - j*b - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38449*z**3 - 7949?\nAnswer: -115347*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -1611, -3618, -6427, -10038, -14451, -19666?\nAnswer: -25683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by 3676\nAnswer: 99\/3676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2608 divided by -652?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -6 + 1\/3*x**3 + 0*x**2 + x. Let n(c) be the first derivative of r(c). Let t(y) = -10*y**2. Calculate n(t(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (259 - 267) + -2 + (2 - 5) - 37?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (6 - -6)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 67*w**2 + 461*w - 282. Calculate m(-59).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 7 - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*3\/6 - -5. Suppose 46 = d*i - 5*b, 3*i - 21 = b + 8. What is the highest common divisor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -592599?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y - 4. Let i be o(-4). Let k = 145\/3 + i. Which is the nearest to k? (a) -2\/17 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -4. Suppose -15 - 7 = -4*u + b*c, -3*c = -u + 9. Suppose -q - u*q + 3*p + 28 = 0, 60 = 4*q + 5*p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18581 + 9?\nAnswer: 1858a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.015 - 347.485. Let g = u - -348. What is the closest to -1 in -0.32, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 6:03 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12192, -3, -4 in ascending order.\nAnswer: -4, -3, 12192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4865772300 and 0.1.\nAnswer: -4865772299.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -586\/11, -2\/11, 2\/299149 in decreasing order.\nAnswer: 2\/299149, -2\/11, -586\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36159096 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*m + 15, -3*b - 16*m + 19*m + 15 = 0. Let z(t) = t - 2. Let k be z(6). Suppose -2*r + 6 = 3*s + 2, -k = s. Solve r = -2*o - b*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -0.1. Let j = n + 0.35. Which is the nearest to 1\/2? (a) -1\/7 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6))\/7*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-266)\/190)\/((-21)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 1, l: 5}. Give prob of sequence iill.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457538, 457552, 457566, 457580?\nAnswer: 457594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/708 and 41\/44.\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 10, r: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -27. Let r = 9.00000044 - h. Round r to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1033, -1\/4 in increasing order.\nAnswer: -1033, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 8*l + 864. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117060 and 6058.\nAnswer: 354574740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 - 310 = 25*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oipsopxxt. What is prob of sequence tip?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/56 and -61\/755334?\nAnswer: 21149352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2064 + 392 = -8*x. Let p = x + 634. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 74*b - 79*b + 4788 = -63*b for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41804459 + 0.062?\nAnswer: 41804459.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 837, 1039, 1241, 1443, 1645, 1847?\n\"Answer: 202*q + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y. Suppose 5*g = t + 21, 4*t - 16 = -5*g - y*t. What is the units digit of g + (2 - 3\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 119\/14 + 10 + -18. Which is greater: d or -0.2926?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2*n**3\/39 + 86*n**2\/13 - 3698*n\/13 + 81. Factor k(q).\nAnswer: -2*(q - 43)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302\/13 - -6833\/260. Find the common denominator of (32\/(-9) - 2)\/8 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - 0) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 323981974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 652, 2, -7, 0.1 in increasing order.\nAnswer: -7, 0.1, 2, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/9*t + 0*t**2 - 2\/9*t**3 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -136, -0.1, -2\/13, -3\/5, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1500*x**2 + 2*x + 12. Suppose 4*y = q - 19 - 29, 0 = 5*y + q + 69. Let r = 7 + y. Let v be p(r). What is v rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1243 less than -711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95527897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Let l be (-2)\/v + (-60)\/(-18). Calculate the highest common factor of 9 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/6)\/((-2)\/(-1326)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115 (base 6) in base 12?\nAnswer: -19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-592)\/1036 - (-5)\/(70\/1464). What is the second derivative of 4*y**4 + i*y + 72*y**2 + 4*y**4 - 128*y**2 + 64*y**2 wrt y?\nAnswer: 96*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 - -42 - (-14 - -2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2412 - -0.24. What is b rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 0.005008?\nAnswer: 4.005008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 385087.\nAnswer: 385091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/26 - 22645\/91. Let j = n + 446. List the prime factors of j.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -289*j**2 - 2 + 567*j**2 - 291*j**2 + j**3 + j + (2*j**2 + 4*j**2 + 0*j**2)*(4*j - 2 + 2).\nAnswer: 25*j**3 - 13*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 28. Let s = h - 6. Suppose 0 = -5*g + s*g + 62. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 56.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 7*y + 4*y)*(2232*y + 1225*y - 134*y - 36*y + 1088*y) as i + f*y + m*y**2 and give m.\nAnswer: -17500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 352, 16 in increasing order.\nAnswer: -7, 1, 16, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 - 4*a - 39. Let o be b(5). Let w = -267 + o. What is the biggest value in w, 0, 1\/3, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2 - 63777384*i + 63777380 = 0.\nAnswer: 1, 15944345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14e8949 + -3?\nAnswer: -14e894c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 4 + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -15 + 3. Suppose 0 = -3*s + 5*d - 5, -s + 2*d - x + 1 = 0. Suppose 0 = 3*r - s*r - 4. Put -4, r, 3 in descending order.\nAnswer: 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5193\/1424 + 408\/89. Calculate the common denominator of -57\/1268 and g.\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8005196 is divided by 1726.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -71\/6. Let h be -136 - -6 - (4 + 2 + -1). Let v be (50\/h)\/(-10)*-3. Sort y, -2, -5, v.\nAnswer: -5, -2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from eqqz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-21*2\/2)\/(198\/9*(-220)\/(-9680))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:55 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 2.7. What is the biggest value in 0.3, -0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 39. Let z(y) = -y - 13. Let h(d) = -4*p(d) + 11*z(d). Let x be h(-11). Let s(t) = 4*t + t**x - t + 11 + 4*t - 5. Give s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z + 264. Let p = -56 - z. Find the second derivative of 0*n**3 + p*n + 2*n**3 + 23*n**2 - 23*n**2 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8 and -7592000112.\nAnswer: -7592000109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 71?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*u + 1890 = 39*u. Solve 3*b + 5 = 4*c, 32*b - u*b = -4*c + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = z + 6, 4*h + 2 = -250530*z + 250531*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29815, 119253, 268315, 477001, 745311, 1073245, 1460803?\nAnswer: 1907985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 22 + 23. Suppose 0 = 5*o + 5*i + 1550, -5*o = i + k*i + 1552. Let d = 578 + o. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-5)\/(-14))*-5. Let o be d\/3*(-6)\/63. Let n = -5 - -5. Which is the closest to n? (a) 0 (b) 1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319 + 297.9. Let n = 22 + x. Let v = n + 0.1. Which is the nearest to v? (a) -6\/11 (b) -5\/6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 26456*w**2 - 635520*w.\nAnswer: w*(w - 24)*(w + 26480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -69. Solve -2*r - 12 = i*a, 2*r + r = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 - 4*y**2 - 95*y**3 - 2*y**2 + 90*y**3 + 4*y**2 - 4 in the form s*y**3 + t*y**2 + v*y**4 + l + i*y and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 6*o**2 - 6*o - 1. Let l be j(-5). Suppose -2*s + 5*s - 12 = 0. Is s\/((-48)\/(-93))*l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 31*n - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403900 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9494 + 9499. Let a(y) be the second derivative of 21\/20*y**n + 0*y**3 - 4*y**2 + 29*y + 0 + 0*y**4. Differentiate a(z) wrt z.\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6204 divided by 5.\nAnswer: 6204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/13 and 45\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {e: 6, c: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6391.1 - 6391. Let p(h) = h. Let v be p(-1). Which is the nearest to j? (a) 0.3 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 3*a - a + 2*a - 2*a + a + (0 + 0 + 1)*(0*a + 5*a - 4*a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148790 or 148794?\nAnswer: 148794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -34*f**5\/5 + 1048*f**4 + 277332*f**3\/5 - 49336192*f**2\/5 - 19896650*f - 9975000 = 0.\nAnswer: -1596\/17, -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 145*t - 1678. Let u be f(12). Solve 14*l = u + 22 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93844 and 6960.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {q: 2, h: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 9 = -19*d. Suppose 0 = v + 2*v - 9. Factor 6*s**4 - 7*s**3 + 2*s**d - v*s**3 + 2*s**2.\nAnswer: 2*s**2*(s - 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*w)*(5 - 3 - 5 + (-5 + 4 + 0)*(-3 + 0 + 5) - 4 + 2 - 1 + (-4 + 3 + 0)*(2 - 4 + 3) + 0 + 2 - 4).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 76?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 4*b + 35. Let m = -6294 + 31472\/5. Let i be (-60)\/(-52) + 1*-1. What is the second smallest value in i, m, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -82?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7961000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -515*w**2 - 552*w?\nAnswer: -1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.11419 hours in nanoseconds?\nAnswer: 11211084000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, -30\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*a + 57, w - 2*a + 0 - 4 = 0. Suppose -x + 5*f + w + 4 = 0, x = 4*f + 14. Is 4 a factor of (0 - x)\/(4\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2804376 and -0.2.\nAnswer: 2804375.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*z + 16, 4*z + 14 = -5*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.908 + -0.7316. Let a = 1.14 - c. Round a to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 144?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/24)\/(8\/(-18)). Suppose 0 = l - 5*a - 14, -d*l + 0*l + a = 0. Sort -5, l, 0 in decreasing order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28198, -26854, -25508, -24160, -22810?\nAnswer: -21458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/130 - (-2)\/5. Let v = -0.5 + 1. Let m = 63 + -62.6. What is the nearest to 2\/3 in m, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(-4*sqrt(5)) + (-4 + sqrt(13) + sqrt(13))*-6)**2.\nAnswer: -588*sqrt(13) + 40429\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-38)\/(-57))*(-15)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 57*p**2 + 54*p**2 + 40*p**2.\nAnswer: 130*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 249122?\nAnswer: 249122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 33*z - 3469. Give n(91).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 770*p - 119. Let t(c) = -77*c + 12. Let g(n) = -2*b(n) - 21*t(n). Is g(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 8*p**2 - p - 1. Let m be y(8). Let f(g) = -g**3 - 8*g**2 + 8*g - 5. Let i be f(m). Solve 2 + 6 = -i*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, f: 1}. What is prob of sequence fh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6676728*t**2*x**4 + t**2*x - 97*t**2 - 2*t*x**2 + 63*t*x + 2 wrt x.\nAnswer: -160241472*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 130. Suppose 0 = h - 3*x - k, -3*h = 2*x + 3*x + 25. Let y = -2\/343 - -720\/5831. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/5 + 78*j\/5 + 1521\/5 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1064, 2049, 3696, 6011, 9000, 12669, 17024, 22071?\n\"Answer: v**3 + 325*v**2 + 3*v + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556 a factor of 792382108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 19*p**2 + 16*p + 30. Calculate w(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:40 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 23.6, 0.009, -1\/2, -3, -6\/61?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169272043?\nAnswer: 17, 29, 131, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 30, 4\/9, 17309, 0 in descending order.\nAnswer: 17309, 30, 4\/9, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:30 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*r = 2*n, 0 = -2*n + 5*r. Let j(t) be the third derivative of t**4\/24 + 59*t**3\/2 - 323*t**2 + 2. Is j(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -107, -240, -425, -662, -951?\n\"Answer: -26*t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/((q**(-2\/3)\/q)\/q)*q))**(-2\/29)\/((q**0\/q)\/q**9) assuming q is positive.\nAnswer: q**(886\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 28 = 5*o, 3*y - 7*o - 28 = -3*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - 1)*(-3401 - -168)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 - 331?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10143302111 (base 5) to base 7\nAnswer: -155314644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k = -c - 27, -2*c = -k - 18. Let y = k + 5. Find the common denominator of -44 and (-4 - y) + 316\/40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0601*0.167.\nAnswer: 0.8450367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001111011101010000 + 101?\nAnswer: 110010001111011101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {b: 1, h: 1, j: 1, f: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjdo. What is prob of picking 1 d and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8979.\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 5748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-9)\/(-30))\/(9\/10). Which is the nearest to 1? (a) 1\/3 (b) r (c) -11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 60 - 480 = 0. Let c = -63 + d. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 16*l + 45 = -4*z, -3*l + 3*z = -30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28771 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 20*s + 25 = -4*z, -21 = 5*z + 4*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 10*i + 3. Let h be x(-10). Let a(b) = -5*b + 4. Let f(d) = d - 1. Calculate h*a(l) + 12*f(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -109, -1, -114, 13 in descending order.\nAnswer: 13, 0, -1, -4, -109, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/60 - 219\/4. What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 20*f**2 - f. Let t(x) = 38 + 2*x - 38 + 0*x. Give t(q(z)).\nAnswer: 40*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from vrfyrvivrvfvfvyrvcrv.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -0.4, 18\/43?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2530 by -7859.\nAnswer: -2530\/7859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 410.4 - 404.4. What is the closest to q in -130, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = 57. Let k = g - 48. Let j(b) = -b. What is j(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*((-1012)\/(-33) - 30 - (-2)\/(-8)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6660037 + -0.3.\nAnswer: 6660036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5 - 40. Let x be (s\/20)\/((-1)\/(-24)). Let z = -12 - x. Solve -z*w = -w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)*b*b*b**(-4\/7)\/b)**(14\/9) assuming b is positive.\nAnswer: b**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.348150732 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 2 - (-5 + 2). Suppose -5*w - g = -124. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-9)*3\/2. Suppose -b + n*b = 0. Let k be 57\/12 + (-5)\/(-20). What is the nearest to b in 3, -1\/4, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -4. What is the remainder when 45 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -965*j**2 + 7998*j**2 + 899*j**2 + 4470*j**2 + 3021*j**2 to the form w*j + t + o*j**2 and give o.\nAnswer: 15423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3 take away 4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1851100 - 1851319.01336. Let g = -219 - k. Round g to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f - 37. Let o be u(-7). Suppose -2*i = -3*x + o, 5*i + 0*x + 4 = x. Solve 0 = -i*g - 2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 721749.9999694183 - 721750. What is f rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tgtvttttttttt?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 15, u: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(3\/8)*u*u)*u)\/u*u**(1\/6)*u*(u**0)**(-31)*(u*u\/u**(1\/2)*u*u**6\/u)**37 assuming u is positive.\nAnswer: u**(6631\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 552?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from fflgffffgflgffggfff?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3926*x**2 + 1 + 4232*x**2 + 3*x**3 - 15479*x**2.\nAnswer: 3*x**3 - 15173*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**2 - 113*h**2 + 32*h**2 + 37*h**2 + 32*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*g**2 + 4*g**2 + 23*g**2.\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4299*a**2 - 2056 wrt a?\nAnswer: 8598*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 62*i + 1. Let y(j) = 7*j**2 - 62*j + 2. Calculate -3*h(p) + 2*y(p).\nAnswer: 5*p**2 + 62*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z + 1. Let k(q) = 8*q - 1. Determine -5*k(h) - 2*l(h).\nAnswer: -10*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1149 divide 497731863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 5*f - 5. Suppose -16*n - 12 = -44. Let h(r) = 8*r - 4*r - 2*r**n + 0*r - 4. Give -6*h(q) + 5*t(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 638180 to the power of 1\/2, to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 - 4\/(-14). Find the first derivative of m*b**3 + 0*b**3 - 1 - 2 - 4*b**4 wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5712\/11 - -91909\/176. What is the common denominator of y and 59\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(76) + ((sqrt(76) + -1*sqrt(76))*1 - sqrt(76)))\/sqrt(4))**2 + -5*3*(1 + sqrt(19)) + 1).\nAnswer: 70 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-12) - ((-14)\/4 + 198\/44). Let l = 6 + -3. Which is the biggest value? (a) w (b) l (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*m - m + 378, -2*m + 5*b = -247. What is the second derivative of m + 10*d + 2*d**3 - 131 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12158.6 and 8.\nAnswer: 12166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81831787 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w + 4*w. Let n be ((-2)\/w)\/(2\/200). Suppose 7*z - 2*z = n. What is the smallest common multiple of z and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 31, -0.2, -11\/34, -0.5, 3?\nAnswer: -11\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -16274773.\nAnswer: -30\/16274773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*v + 9*v. What is the remainder when (-1)\/((v\/(-13))\/4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.124 - 474.9?\nAnswer: -475.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000479136564 to five decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.4563 centuries to months.\nAnswer: 215347.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 14*g - 4. Let b(n) = -13*n + 2. Let c(x) = -27*x + 4. Let o(h) = -13*b(h) + 6*c(h). Let i(y) = 3*k(y) - 5*o(y). Is i(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 9. Let v = -32 - -23. Let y be x(v). Suppose -5*n + 2*n = 0. Solve 4*k - 2*r + 10 = n, -4*k + y*r - 25 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 115324?\nAnswer: 115321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45028 - 2817972. Round n to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5 - 8*l**4 - 56*l**3 + 96*l**2 + 180*l - 216 = 0. Calculate l.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 divided by -3?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**2\/2 + 5*c - 2438. Let y = -7 + 2. Let q(i) = -i + 2. Let d(z) = y*q(z) + 2*k(z). Let o(p) = 13*p**2. Calculate d(o(t)).\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*h*l**2 - 2*h*l + 866*h + 5*l**4 - 9*l + 4611 with respect to l.\nAnswer: -628*h*l - 2*h + 20*l**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(0*q**4 - 2*q**4 + 3*q**4 + (-q**2 + 2*q**2 - 2*q**2)*(3*q**2 + 5*q - 5*q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 17*t**2 - 4*t - 2. Let p = -27 + 29. What is the tens digit of i(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9150, -1, 7, -2, 4 in ascending order.\nAnswer: -2, -1, 4, 7, 9150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(1\/((-76)\/8)). Suppose -83 - x = -d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81686123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1242 + 1246. Suppose -2*s + 4*r + 16 = 0, 0 = -s - s + 3*r + 12. Let j be (-2 - (-10)\/6) + s. What is the nearest to j in -0.5, y, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(136\/102)\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (6 + 31 - 49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687054.\nAnswer: 2, 3, 43, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10 + 5 + 7*k - 5*k. Let s be d(4). Suppose -s*a + 15 = 3*j - 0*a, j = -5*a + 25. Which is bigger: j or -32?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3*z**2 - 2*k**3*z - 121*k**2*z**3 - 2*k*z - 2*k + 50*z**3 wrt k?\nAnswer: -18*k*z**2 - 12*k*z - 242*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*4*(sqrt(405)*2 + sqrt(405) + 1))**2.\nAnswer: 31104*sqrt(5) + 2100092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9*x + 1461 = -14*x, -3*x = -o + 483. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 35*t - 33. Suppose -10*c + 14*c - 24 = 0. Let x(o) = -12*o + 11. Let m(y) = c*a(y) + 17*x(y). Find the first derivative of m(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -35.63. Let h = -7197.6371 + 7196. Let v = h - l. Round v to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 811998029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -72, -121, -186, -273?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 15299*i - 30600.\nAnswer: (i - 30600)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.0870514 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2852 and 1.\nAnswer: 0.2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.26 + -0.67. Let g = y + -4.49. Let q = -4.8999949 - g. What is q rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*91868\/(-6562)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*w + 1 = 5*y, -3*w - 11 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let j(f) be the first derivative of -56*f**3\/3 - f + 107. Determine j(q(p)).\nAnswer: -224*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14300.3 + -14300. Which is smaller: t or -102.3?\nAnswer: -102.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/5 + -7\/10. Let r(t) = 9*t**2 - 3*t + 4. Let o be r(-4). Let q = 1122\/7 - o. What is the second biggest value in -3, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-84)*(-13)\/312*81.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**3 - 8*m + 0*m**2 + 0 - 1\/4*m**4. Let o(u) = u**2. Determine k(o(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6093673 * -0.4\nAnswer: 2437469.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 2.9262, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*w - 34, -w + 26 = -0*w + 5*g for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*p + 2*p + 19, -4*z - 5*p - 1 = 0. Let w(h) = 4*h**2 - 6*h. Let u(s) = -s**2 + s. Determine z*u(l) + w(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3114142 = 238*h - 3966283 - 15795959. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22828910 divided by 351214\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**0)\/z**(8\/11))**(2\/43) assuming z is positive.\nAnswer: z**(28\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.17 - -0.33. Let w = 0.011 + -0.361. Let s = w - -0.45. Which is the nearest to -0.1? (a) -2\/15 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 691*b**4\/3 + b**3\/3 + 23*b**2\/2 - 54*b - 4. What is the second derivative of j(n) wrt n?\nAnswer: 5528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.58 - 0.24. Let d = -3.89 - a. Let h = d - -2. What is h rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5960, 1\/5, 291, 2 in increasing order.\nAnswer: -5960, 1\/5, 2, 5, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -5\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and -71\/225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/15580, -3, 19\/5 in increasing order.\nAnswer: -3, -3\/15580, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 3786818 and 3786816 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0.1766, -1 in increasing order.\nAnswer: -23, -1, 0.1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007073 to 5 decimal places.\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3555 is divided by 639?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2543239 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/3 - 20*j**4\/3 + 4*j**3 + 56*j**2\/3 - 14*j\/3 - 12 = 0 for j.\nAnswer: -1, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-62)\/(-8) - 3\/4 and ((-24)\/(-2))\/(240\/120).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - -1.5. Let k be (-3)\/(-2)*8\/42. What is the second biggest value in q, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 2*x + 3*x - 4*x**2 + 2*x**3 + 2*x**2. Let r be k(1). Which is the biggest value? (a) -4 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + -0.19. Suppose 10*h = 1425 - 525. Which is the closest to 0? (a) u (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.138 + -58.138. Let r = b + 58.07. Let v = 0.13 + r. What is the third smallest value in v, -0.03, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 755.2035ug?\nAnswer: 0.0000000007552035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) -208 (c) 0.17 (d) -12 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185739*n**3 - 28*n**2 + 5026?\nAnswer: -1114434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1b32143?\nAnswer: -1b32140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (136\/40 - 8\/20) + 0. Solve 10*h = -u*h - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let t be c(-4). Let b(z) = 149*z + 4. Let l(d) = -149*d - 3. Let p(u) = -3*b(u) - 4*l(u). Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35 - -2)\/(-3) + 2. Suppose 0 = -5*d - 3*k + 325, 4*k = -3*d + k + 195. Calculate the greatest common divisor of d and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19343100 * 3.\nAnswer: -58029300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, i: 5}. Give prob of picking 4 i.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 18 = 3*b. Let h = b + -5. Which is bigger: 16\/7 or h?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:29 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 + 0 = -4*z - j, -2*j + 8 = 5*z + 138 + 26 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4, -7*l = -4*l + 3*q + 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*r + 6*r. Let w = 27 - r. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**5 + 207492*j**4 - 3587951640*j**3 + 20685735943600*j**2 - 62024921868000*j = 0.\nAnswer: 0, 3, 17290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 - (-15 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/23*b**3 + 16 + 100\/23*b**2 - 376\/23*b.\nAnswer: -2*(b - 46)*(b - 2)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2. Let t be v(-6). Let x = t - 0. Let l be (x\/6)\/(4\/2). Solve -4*n = -l - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -48*i + 346. Calculate the remainder when 1159 is divided by d(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + 6*o + 6. Let f(q) = -265*q**2 - 255*q - 280. Let z(b) = 33*b**2 + 32*b + 35. Let x(m) = -3*f(m) - 25*z(m). What is -35*w(r) - 6*x(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678909201 divided by 123.\nAnswer: 5519587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 29*f = 7*n - 10*f - 7 + 38, -20*f + 40 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 + 1370*u - 414936 = 0 for u.\nAnswer: 452, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8501432 is divided by 1026.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1680 and -79\/16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 284*h**2 - 284*h**2 - 19*h**5 + (5 + h**2 - 5 + (2*h + h - 2*h)*(-h - h + 4*h) + 43*h**2 + 2297*h - 2297*h)*(2 - 2 - h**3).\nAnswer: -65*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 - 3\/6. Let f be (-8)\/8*c\/(-1). Suppose 15 - 55 = -f*h. Solve -w + h = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f. Determine r(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254*b**4 + 11*b**2 + 2*b - 1 wrt b?\nAnswer: 6096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a**5 + 7*a**4 - 6*a**2 + 7*a. Let y(s) = -s**4 - s. Let x(w) = 2*f(w) + 14*y(w). Find the third derivative of x(m) wrt m.\nAnswer: 2040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h + 10*h**3 - 18 - 3*h**3 + 7*h**2 + 8*h**2 + 10*h**2 - 7*h**2.\nAnswer: (h - 1)*(h + 1)*(7*h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 89.1\nAnswer: -356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctatttctcmsacmtmt. What is prob of picking 1 s, 1 a, and 2 t?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhbthhabbbbhhbhh. What is prob of sequence bbh?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63404 is divided by 261.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 270 = 26*q. Find the third derivative of -143*o**4 - 4*o**2 - 4*o**3 + 3*o**3 + 14 + q*o**4 wrt o.\nAnswer: -192*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1658 + 3836*q - 827 - 872*q - 831.\nAnswer: 2964*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325) - (sqrt(13) + 2*sqrt(78)\/sqrt(6)))**2 + -3 - ((sqrt(208) + 1 + 0 - sqrt(208))**2 - 6*(sqrt(130)*-1)\/sqrt(10)).\nAnswer: -10*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 18 - 49 - 2*u**2 + 0*u**2. Let b(c) = c. Give y(b(o)).\nAnswer: -o**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5200) - sqrt(5200)*-1) + sqrt(5200))\/(sqrt(128) + 2*sqrt(128)))\/(sqrt(96)\/sqrt(3) - 1*3*sqrt(2)).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.4 + -23. Let a = i + 5.6. What is the second smallest value in 0.2, a, 3, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 - ((-406)\/105 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 3, -5, 199, -4, 0 in descending order.\nAnswer: 199, 43, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1.2 (b) -2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 5855*t**2 + 11690*t.\nAnswer: 5*t*(t + 2)*(t + 1169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1146906 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79.3*0.06.\nAnswer: -4.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) -5\/2 (c) -1\/5 (d) -479 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) 0.2 (b) -1\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*n + 1312 - 2*n**2 - 33*n + 17*n**3 + 7*n**2 + 74*n wrt n.\nAnswer: 51*n**2 + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1454 and 0.3.\nAnswer: -436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrrnrvn. What is prob of picking 2 v and 1 n?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3 - 1) + (2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from yuuusuyunnusuuun.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -11. Suppose i*x = 2*x + 5. Solve x*c + 28 - 3 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -55. Suppose 0 = -3*a - 2*d + 6, n*a - 4*d - 28 = -a. Put -5, a, -4, 3 in decreasing order.\nAnswer: a, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*z**2 - 18529*z - 5156930 wrt z?\nAnswer: -56*z - 18529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-22))\/(18651\/(-4376768)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-2)\/4 - -6. Suppose 2 - 12 = -n*i. Let -8\/3*t**3 - i*t**2 + 6*t - 4\/3 = 0. What is t?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 + 523512*i - 7852689\/5.\nAnswer: (i - 3)*(i + 2617563)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 4*n + 102635 = 8*y, -4*y = -5*n - 410606. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + w - 24 = -2*k, 2*k = -w + 12. Suppose -k*f - 20 - 4 = 0. Let d = f + 2. Sort d, -1, -11 in descending order.\nAnswer: -1, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 936229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:30 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -18. Suppose -5*k + 12 = -33. Let w = -6 + k. What is the lowest common multiple of w and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 at least as big as -3813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428237 is divided by 213825?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 13 + -9 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.425032cm to micrometers.\nAnswer: 54250.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u - 23*u + 28*u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 675*(135\/216 + (-9)\/(-24)). What is the highest common divisor of u and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20.2 + 20. What is the closest to 0.07 in -5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**3 - 2*s**2 + s - 2. Let o be l(-2). Suppose -o + 1 = 5*b. Let p be -15*(33\/b - -1). Solve p = -4*y + i, y - 3*y - 12 = -2*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306623 = 2*r - 130633. Suppose 123352 = 2*q - r. Let t = -110990 + q. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + v - 1 = 0, 4*k + 408 = 2*v + 424 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -108 (b) 1\/2 (c) -0.16 (d) -3\/4 (e) 2\/13 (f) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16694 * -4\nAnswer: 66776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 62, 63?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030 (base 4) to base 2.\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/7, 0.25, 9, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/60 - 53*i**4\/12 + 35*i**3\/2 + 7087*i**2. What is x in s(x) = 0?\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645835360.\nAnswer: 2, 5, 239, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10734.009 months?\nAnswer: 89.450075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2631, 2625, 2609, 2577, 2523?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191053389 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 692674 or 692723?\nAnswer: 692723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from prd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/11 and 65\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2636 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30875679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**6\/6 - 19*o**4\/12 + 262*o**3\/3 + o**2 - 206*o + 1. What is the second derivative of z(d) wrt d?\nAnswer: -60*d**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-305 - 40*s + 305)*(s + 11*s + 12*s).\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/64 and -91\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/784 + -40367\/2352. Find the common denominator of -7\/16 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -3 + (5 + sqrt(125))**2)*6.\nAnswer: 324*sqrt(5) + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*h**2 - 4527*h**2 + 146*h**2 + 94*h**2.\nAnswer: -4622*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 14476 = -281. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 1079304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5355 and 7579.8.\nAnswer: 2224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22395 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 36. Suppose -z + 16 = 5*x, 0 = -2*x - 2*z + z + 4. Suppose -5*p + 15 = -3*y - 8, -x*y = -p - 9. Solve 0 = -i*q + p*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 281.000051 + -281. Round p to six dps.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 216\/(-114) - 2\/(-1). Let w = g + -27\/76. Which is the third smallest value? (a) w (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 5*b, -5*b - 28 = 2*n - 4*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/65)\/(5 - 1326\/255)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*c = -2*t + 8, -3*t + 3*c - 6 = 0. What is the second derivative of 0*k**3 + t*k**3 + 3*k**4 - 2*k wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(192) + (sqrt(192) - (sqrt(192) + 1*sqrt(192) + 1))**2 + 2)*-1.\nAnswer: -196 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1965841047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/2)\/4)\/(12\/(-4224)*8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 3:31 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -533 - -482. What is the closest to -1\/4 in 4, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47539434 to four dps.\nAnswer: 0.4754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4641626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*g + 25*g + 20*g - 322140. Calculate the lowest common multiple of 35 and g.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -535210 and 0.5.\nAnswer: -267605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2 - 122*d**3 - 7611*d - 186*d**4 + 363*d**3 - 122*d**3 - 122*d**3 + 19174*d wrt d?\nAnswer: -2232*d**2 - 18*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.87292 - 0.6935. Let l = s + -0.181. What is l rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2671973 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 62, 125, 222, 359, 542, 777?\n\"Answer: d**3 + 8*d**2 + 4*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*m - 0*m. Let h be (m\/(-30))\/(2\/100). Calculate the highest common divisor of 75 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205 + -141 + -103 + (0 - -153).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*r - 15 + 15)*(-r + 6*r - 4 - 3*r)*(-r + r - r) to z + u*r**2 + x*r + o*r**3 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*t = s - 2854, 0 = -2*s - 5*t + 1431. List the prime factors of s.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4774)\/(-93))\/(-22)*(-3)\/(-1*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 24. Suppose 4*b - 68 = -4*h, -3*h = -q*h - b - 23. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3*c + 7. Let d = 22 + -26. Let w be b(d). Differentiate 14 - 336*n**2 + 336*n**2 + w*n**3 with respect to n.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, x: 9}. Give prob of picking 2 x.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/4*(-4)\/(-6). What is the highest common factor of 33 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291580 is divided by 273.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2487 = 3*g - 7552, -4*g = -r - 13391. Suppose -9*x - 3*x = -g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = -f, 5*f - 3*v - 18 = -0*v. Suppose -2*z - f = -9. Let o be z + (-2 - 0) - 1. Is o <= 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = 3*g + 175, 21*g = -83*b + 80*b + 162 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 310619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -143cc?\nAnswer: 143c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i**2 + 10*i - 14 - 7\/3*i**3. What is the derivative of v(m) wrt m?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*-4*2*sqrt(637)*4)**2.\nAnswer: 23482373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**2 + 45*w**2 - 13*w**2 + 2 + 23*w - 14*w**3 - 22*w**2 wrt w.\nAnswer: -84*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 - 3*u + 7. Suppose 3*m = -m + 36. Calculate the remainder when w(5) is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621210 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (26487 - 15) - (-1)\/(-2)*12?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 415 + 564. Calculate the remainder when d is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 + -0.3. Let y = -69 - -65. Which is the smallest value? (a) -2\/25 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/60 - 3*q**4\/4 - 65*q**3\/6 + 64*q**2. Let b be j(-13). Find l such that b*l - 2\/11*l**2 + 8\/11 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11384170 rounded to the nearest ten thousand?\nAnswer: 11380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001110 (base 2) in base 11?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1921166 and -1921167 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.226 + -0.074. Which is the nearest to 0.7? (a) -1\/3 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 5792*n**2 - 4170144*n - 33732864.\nAnswer: -2*(n - 1452)**2*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 1348 (b) -2\/5 (c) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/436 and 51\/16.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.03 and -0.1.\nAnswer: 0.503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/30 + 5*a**4\/24 - a**3\/6 - 3*a**2 + 27*a. Let t(b) = 4*b**2 - 9*b + 2. Calculate 5*s(d) + 3*t(d).\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -270 - -469. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:48 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*(-9)\/(-84).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 e when three letters picked without replacement from {e: 6, m: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111666623 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23822 and 919363.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1346 - 20183\/15. Let z be (-24914)\/(-18708)*(-32)\/80. Let c = -1\/1559 + z. Calculate the common denominator of f and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-16) - 33\/60?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 5, u: 2, i: 5, t: 5, o: 1}. What is prob of sequence li?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47614 + -20.\nAnswer: 47594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(176) + -2*sqrt(176)) - sqrt(176))\/(sqrt(648)*2))\/(6*(sqrt(539)*-2 - sqrt(539)) + 1*-1*sqrt(539)))**2.\nAnswer: 2\/159201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 273.63 and 7917?\nAnswer: 7643.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 16. What is the closest to 0.1 in m, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*t**4 - 80*t**3 - 573*t**2 - 3*t - 3.\nAnswer: -168*t - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -261, -518, -755, -966, -1145, -1286, -1383, -1430?\n\"Answer: j**3 + 4*j**2 - 276*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51913\/13 - -3991. Which is greater: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*-1 + (41 - 36). What is the third biggest value in -4\/11, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/6 + 1447*w**2\/6 + 518503*w\/6 - 173317\/2 = 0. Calculate w.\nAnswer: -789, -659, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155602387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 36 = 0. Suppose 8*f - 4*f = 8. Suppose -j = -f*y - y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -8*r + 17614, 18*r = 19*r - j - 2207. List the prime factors of r.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25344, -49992, -74626, -99246?\n\"Answer: 7*a**2 - 24669*a - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 2 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7781.321 - 7778. Let l = -3 + k. What is l rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 12*k + 1646. What is the units digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3290, 4, 5 in ascending order.\nAnswer: -1, 4, 5, 3290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/10)\/(t**(-3\/7)\/t))\/(t\/t**2)**16 assuming t is positive.\nAnswer: t**(1241\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a + 7. Let d be (8\/(-4))\/(1 + 10\/(-8)). Suppose d = -3*r - 1. What is the units digit of h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 407 - 203 - 204.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 0 + 0 - (-10 + (23 - (-17 - -22)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/(1956\/230319). Which is greater: 1412\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*i + 5*i - 4*i - 15*i - 83*i**2 + 0.\nAnswer: -83*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most as big as 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65156 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) + (-83762)\/(-21). Suppose 0 = -q + 4*q - 12. Let h be r\/7 - q\/(-14). What is h rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Let k be (-1)\/((-2)\/o*-1). Suppose -k*v + 3*v + 6499997 = 3*i, -5*v - 32500002 = 2*i. Round v to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(252) + 2*sqrt(252) - sqrt(252))*3 - (sqrt(252) + -2 + 3*sqrt(7) + -5 + sqrt(7)))**2.\nAnswer: 1820*sqrt(7) + 23905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -260 - -843. Suppose l = o - 0*m + m, 2*o - 2*m - 1174 = 0. Is 39 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 - -3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 - 5691*u**3 + 2*u**2 + u + 17849?\nAnswer: 20*u**3 - 34146*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = -n + p, 2*n - 5*p = 21. Let c(i) = 14*i**2 - 2*i - 7. List the prime factors of c(n).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -194*n - 28705. Calculate the remainder when (-8 - -1)\/(2\/(-6)) is divided by s(-148).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -422\/15. Which is the closest to -0.6? (a) k (b) 4\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 259 = 2*z + 225, 24 = 2*z - 4*u. Calculate the smallest common multiple of z and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3 + 0*d - d**2 + 1 + 16*d + 6. Does 17 divide m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -735\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39167.\nAnswer: 53, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*q + 106*q + 103*q)*(-1 + 3 - 1) - 3*q + 4*q - 3*q.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4*n - 1 = 11, -3*r = -3*n - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w - w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -58615129062.\nAnswer: -58615129062.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5657*a - 2135*a - 3527*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23185 (base 10) to base 15\nAnswer: -6d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from dmdmdddbbddbddddmdd.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -2, 4, 30, 82, 166, 288, 454?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 9581460 and 9581455 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2155 - -3057. Let d = f + -903.186. Round d to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 5*b + 10. Let p = -1447 + 1441. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12397420*m**3 - 27*m - 920068730 wrt m.\nAnswer: -37192260*m**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 528 - 531. Which is the third biggest value? (a) 1\/2 (b) -2 (c) 3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(1\/14)*p)\/(p*p\/(((p**(9\/2)*p*p)\/p)\/p)))\/(p*p\/p**(-1\/3)*p\/(p**(-2\/23)\/p)))**(-6\/5) assuming p is positive.\nAnswer: p**(-974\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**2 - 3. Let g(v) = 36*v**2 - v - 12. Let m(d) = -2*g(d) + 9*i(d). Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 144*f + 25. What is the tens digit of d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*2 + 4 - (3 + sqrt(28)*-2)**2.\nAnswer: -117 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 + 4310745*j**3 + 12932265*j**2 + 12932275*j + 4310760 = 0?\nAnswer: -1, 862152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 12*c + 110. Let w be k(-18). Let y = 438 - 442. What is the closest to w in y, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027863 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let v = 8.4 + -1.4. Let a = 6.9 - v. Sort a, 3, d in decreasing order.\nAnswer: 3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 + 12*c - 54. Give u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j + 21. Suppose 2*k - 2*w - 3*w = 31, -5*k - w + 37 = 0. Let d(p) = k*p - j*p + 4 + 0 + 3*p. Calculate d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - -2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.45 and -0.083.\nAnswer: 0.03735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14422 + -1.62222. Which is the second smallest value? (a) -3\/7 (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -12. What is the third biggest value in c, 1\/2, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.28 or 0.103?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o + 49 - 49 + 0 - 6*o + 0 + (-1 + 3 - 3)*(3 - 3 + o))*(-17 + 22 + 41).\nAnswer: -874*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(0 + sqrt(28)\/(1*sqrt(4)))*-2.\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5*10\/(-8)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1 - (-1 - -4)). What is the highest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10725 by 5.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 252*q - 255.\nAnswer: 3*(q - 1)*(q + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (-55 - -47)) + -22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3293 - 4*s + 3278 + 0*s)*(-3 - 3*s + 3)*(1 - 2 - 11) to the form o + u*s + d*s**2 and give u.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let a(k) = 16 - 22*k - 33 + 17. Calculate a(d(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -21.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 3. Let l be w(2). Suppose -l + 71 = 2*q. Calculate the remainder when 228 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 4446 = 7874. What is the smallest common multiple of 80\/c - 1582\/(-11) and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 6, -3*u + 5*r = -465. Let z = u - -10. What is the greatest common factor of 68 and z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8437 + 3*l + 8437.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3\/2 + 2*n. Let r(d) be the first derivative of 8*d**3\/3 - 84. Determine r(p(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000102994154 to six decimal places.\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vfj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) -5 (d) 1447\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19\/2 + 9. Let c = -169344 + 169335. Let f be 2\/11 - (-1 - -1). Sort q, c, f in decreasing order.\nAnswer: f, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 599 - 1236. Let i = j + 637.66. Round i to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:25 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (694*x - 692*x + 1 + 1)*(1355*x - 1355*x + 34*x**2).\nAnswer: 68*x**3 + 68*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 28*f. Let c(r) = 29652*r - 59360*r + 29683*r. Calculate k(c(g)).\nAnswer: -1875*g**2 - 700*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 64817222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1317, 2641, 3969, 5301?\n\"Answer: 2*q**2 + 1318*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 30238456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/17)*p\/(p*p*p*p**(6\/7)))**(-29))**(-22\/9) assuming p is positive.\nAnswer: p**(-149930\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n - 96 = -35*n. Is ((-448)\/n)\/((-4)\/4206) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y - 4*y - 4*t + 34, -5*y = -4*t + 6*t - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.74 + 0.03. Let x = -92.47 + 93. Let y = q + x. What is y rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 296297 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 261833279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/3 - 6\/18. Let n be ((-4)\/3)\/((-8)\/18). Suppose 4*b - n = 17. Solve 3*x + g = b*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 273179.3l?\nAnswer: 273179300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.319384 to 3 decimal places.\nAnswer: -12.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18334*p - 275018. Calculate y(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, -8, 2, -168 in ascending order.\nAnswer: -168, -8, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9926 - -76127. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2538 + 4044. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 19*j**2 + 21*j - 22. Let o be i(18). Let w = -40 + o. Let p(s) = s + 9. Let l be p(w). Is l less than or equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*m + 67, 8*f + 2*m + 75 = 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + (-32)\/240. Which is the closest to -0.1? (a) -2\/9 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(sqrt(567) + 0))*1.\nAnswer: -2 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11818, 11817, 11814, 11809, 11802, 11793?\n\"Answer: -l**2 + 2*l + 11817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5954 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + 2*m - 6. Let x be f(4). Suppose -n - 6*h - 265 = -h, -4*h = -3*n - 700. Let c = -240 - n. Solve c = 2*o + x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from juquuqjjqjujo?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -201, -205, -205, -201, -193, -181?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeekkeeee. Give prob of picking 2 e.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 54) + 5 - -18 - -35?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 9*j**5\/20 + 5*j**4\/12 - j**3\/2 + 11*j**2\/2 + 7*j + 20. Let q(x) be the first derivative of f(x). Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.01\nAnswer: -0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 963898*a - 89 - 963899*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 14) to base 5\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2231063 and 1769953?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 755664 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-141484)\/(-372))\/(-163))\/(7\/381)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 + 2*q**2 - q + 1. Let w(j) = 14*j**3 + 8*j**2 + 40*j + 4. What is 5*p(c) - w(c)?\nAnswer: c**3 + 2*c**2 - 45*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10463\/7 + 1495. Let g be 1\/8 + (-1480)\/1600. Sort 80, -5, g, p.\nAnswer: -5, g, p, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100926239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -1.65.\nAnswer: -8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, -58.1, -0.5, 4, -5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 104*h**3 - 18 - 96*h**3 + 39.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17378, 2\/5, 0.5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013624 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -22, 16, -5 in increasing order.\nAnswer: -22, -5, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let b(n) = 21*n. Let s(r) = r. Let p(g) = b(g) - 18*s(g). Determine p(c(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011001000101 + -11?\nAnswer: -110010011001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (-4*(sqrt(162) + -2*sqrt(162)) - (sqrt(162) + -2 + -1) - (-3 + (sqrt(162) - 3*sqrt(162)) + sqrt(162))*-2))*6)**2.\nAnswer: 648*sqrt(2) + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/(d**6*d*d)))\/d)\/(d**9*d))\/(d**(-1\/14)\/d**(1\/9)))\/((d**(-9)\/d**(-1\/7))\/(((d*d**1)\/d)\/d)**22) assuming d is positive.\nAnswer: d**(761\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2691 + 10.\nAnswer: -2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, v: 2}. Give prob of sequence vvh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 1.61. Let v = i + 1.296. Round v to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.771 * -0.3.\nAnswer: 0.2313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 60 = 8*n. Let s = 17 + n. Solve 0 = -k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -697 - -711. Let p be (-21)\/(-4) - (-26)\/(-104). Sort p, -4, h in descending order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039755 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1\/8, -3, 2\/5, -2\/3, -6\/7 in descending order.\nAnswer: 46, 2\/5, 1\/8, -2\/3, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*3.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853561 is divided by 736.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let w(d) = -23*d - 1. Let y = -8 - -13. Suppose 0 = -y*m + g + 115, -4*m + 4*g + 133 = 25. Calculate m*a(q) - 2*w(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1318*u**2 - 101. Let w(q) = 122*q - 2. What is w(r(a))?\nAnswer: -160796*a**2 - 12324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:35 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 9*l - 3. Determine g(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n - 4*n)*(n**2 - 2*n**2 + 4*n**2) + 4*n**3 - 20 + 20 - 4*n + n**3 + 4*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84272 and 30422192.\nAnswer: 30422192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -19. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*r = 365, 44*r - 47*r = -3*j + 258. Let d be -89*((-9)\/3 + 2). Is d != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**2 + 779063*v + 1038437956 wrt v.\nAnswer: 6*v + 779063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2440798721017\/1350508985 + 1\/15888341. Let n = p - 10281\/5. Let l = -249 - n. What is the closest to 1\/2 in 3, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-6)*-3*2\/8. Let m(t) = -1 - 164*t**3 - 124*t**3 + 2 - 2*t**2. Is m(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + (3 - 0) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vibnuvz. What is prob of sequence zbi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.07 (b) 7 (c) -0.4 (d) 17\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n - 20*n - 139*n.\nAnswer: -185*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -165, -573, -1379, -2715, -4713, -7505, -11223?\nAnswer: -15999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/133)\/(18\/28).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284888?\nAnswer: 2, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y + 13689\/2 + 1\/2*y**2 = 0.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 3 + 0*d + 4\/3*d**3 + 49\/30*d**5 + 7\/3*d**4 + 1\/2*d**2. Let z(c) be the second derivative of u(c). Factor z(g).\nAnswer: 2*(7*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from ylyyyll?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -22*g. Let v(d) = -24*d**2 + 30*d + 30. Let w(x) = 6*x**2 - 8*x - 8. Let m(y) = -4*v(y) - 15*w(y). Determine m(h(l)).\nAnswer: 2904*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -111. Let p = 72 + s. Let x be (-20 + 19)*(-15)\/5. Solve n + p = 2*m + 3*m, x*m + 8 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/120*4)\/((-8)\/(-64))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 7*o**2 - 5*o + 8. Let a(y) = 7*y + 1. Let q be a(-1). Let z be u(q). Suppose 3*c - z*c - 8 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595023 and 82137?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 2. Let l(q) = 29*q - 5. Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 29*g**6\/6 + 11*g**3\/6 + 486*g**2 + 2857*g + 1. Differentiate l(m) wrt m.\nAnswer: 580*m**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 8*w + 1. Let n be y(-6). Let u(x) = 116*x**3 + 11. Let m be u(-2). Let q = m + 922. Put 3, n, q, -1 in ascending order.\nAnswer: n, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*s = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -36*g**2 - 2778*g - 464. Calculate b(-77).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284515 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-33) + ((-25)\/(-10) - (-259998)\/132). What is the greatest common factor of 348 and p?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 850014*d - 2 + 20*d**2 - 850014*d - d**3 + (0 + 0 - 2*d**3)*(-4 - 3 + 6).\nAnswer: d**3 + 20*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:42 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31320013030 (base 4) to base 6.\nAnswer: -205545124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13045, 51941, 116687, 207283, 323729?\nAnswer: 466025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -402806302, -402806300, -402806296, -402806290, -402806282, -402806272?\n\"Answer: c**2 - c - 402806302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:27 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33467*g + 33467*g + 5699*g**2 - 3245*g**3 wrt g?\nAnswer: -19470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1024 = -4*w, -6*w = -3*w + 5*l + 792. Let h = 559 - w. Suppose -2*j + 0*j = 2*q - 320, -h = -5*q + 4*j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -634.84 - -635.1. What is the second smallest value in -4\/5, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311760 by -4.\nAnswer: -77940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = 7*w - 2*n, 2*w - 5*n - 10 = 0. Suppose -3*l + 6 - 18 = w. Let q = 0.8 - 0.3. Which is the third biggest value? (a) q (b) -3\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:08 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g - 8371885 = 7453820. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719084 bigger than 719081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g - g + 415 + 173 - 588. Let f be -1 + (-1)\/(1\/6). Give n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 39*i + 35. Let m be u(-14). Suppose -m*j + 25 + 437 = 0. Suppose 15 = l + 4*l. What is the remainder when j is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -9*v + 180. Calculate the remainder when 137 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 59 = 62 + 45 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/18*23\/184*-24.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 - 122*z - 7 + 3*z - 80*z + 80 wrt z.\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:35 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 + -0.006. Let o = -0.153 + j. What is o rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:33 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.92, 0, -2\/19 in increasing order.\nAnswer: -0.92, -2\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*j**2 + 2 - 170*j**2 - 2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:11 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 29*u + 4. Let v(i) = -3*i - 2. Let l(a) = -b(a) - 2*v(a). Let w(m) = 76*m - 1. Determine l(w(h)).\nAnswer: -1748*h + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15235\/15 - -4 - 10\/15 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.6604 + 0.0396. Let b = w - 33.700389. Round b to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2372 - -4197. Let t be 6\/(0 + 4 + -2). Suppose o = 3*p - 2*p - d, 2*p - 3652 = t*d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -24. Let l = -29 - t. Let h be ((-8)\/(-10))\/(l\/(-40)). Solve -18 = r - 5*p, 6*p = h*p + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307323163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -52031 (c) -2 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3328 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90797 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 4*c**2 - 19*c + 66. Let w be q(3). Let i(l) be the third derivative of 1\/160*l**6 + 0*l + 0 + 0*l**3 + w*l**5 + l**2 - 1\/32*l**4. Factor i(a).\nAnswer: 3*a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4 - 32975684*f**3 - 135924499884162*f**2 - 271848900841280*f - 135924433932800 = 0.\nAnswer: -8243920, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 23*m**2 + 55*m + 483. Let h be f(-7). Which is the nearest to h? (a) 5 (b) 2\/19 (c) 15.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 1. Let x(t) = -t + 8. Let d be x(11). Let f be (6 + d)*(-4)\/6. Let q be f\/(-2)*(-2)\/2. Calculate g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19817205, 19817204, 19817203?\n\"Answer: -z + 19817206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -1, 2, 0.06 in decreasing order.\nAnswer: 2, 0.06, -1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4991*g**2 + 2413*g**2 - 735*g**2 - 3746*g**2.\nAnswer: -7059*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102346 or 102455?\nAnswer: 102455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-7) - 23715\/(-63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*o**3 - 286 + 54*o**3 - 17*o**3 + 285.\nAnswer: -91*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12662936.\nAnswer: 2, 11, 13, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + 4*s**2 + 3*s - 2. Let n be g(-3). What is the units digit of (-1 - 0)\/(7\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617 (base 12) to base 13.\nAnswer: -52c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1274*f**4 + 9145*f*w**2 - 38361*w**2 - 7 with respect to f.\nAnswer: 5096*f**3 + 9145*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14 + -6487 - 5)\/(-3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.131 - 259068.\nAnswer: -259068.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2753 - -2762. Suppose 0*f - 28 = -2*f. Let p = 1 + f. Calculate the lowest common multiple of p and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000196953 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3*-6 - 1. Let p = 202 - 49. Calculate the greatest common factor of p and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+7.17176658\nAnswer: 11.17176658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1\/11)*s*s))\/s*s)**(3\/5) assuming s is positive.\nAnswer: s**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5834*l + 5149 + 10643 = -5472 - 2072 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 11*n**2 - 2937*n + 32308. What is c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210669 is divided by 336.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/4 - 30*14\/770.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 - 15\/(1\/(-1)). Calculate the highest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/8))\/(((((t**(-8)*t)\/t*t)\/t)\/t)\/t)*(t**(-3)*t)**29 assuming t is positive.\nAnswer: t**(-375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1339 divide 2791050431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7975)\/13398 + 3\/(-28)*-4. Let w = -0.1 + 0.1. What is the second smallest value in s, 3, w, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -16 in descending order.\nAnswer: -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-52)\/(-2) - (1 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uozzuuupu. Give prob of picking 1 u, 1 o, and 1 z.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135004744.\nAnswer: 2, 3, 88958531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - 14\/(-4). Suppose 0 = -5*b - 5*u, -3*b - 5*u = -1 + 5. Suppose b*t = 4*t - 32. Solve t = 2*r + 5*m, -z*r = -0*r + 3*m - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 58. Let i be (-13470)\/(y\/(-20)*-1). What is i rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 > 1281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Let x(u) = -23*u + 69. What is 69*w(f) - x(f)?\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {j: 8, d: 2, i: 1, n: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*j - 12*j - 5*j + 4*j**2 - 20*j**5 wrt j?\nAnswer: -1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -25. Solve i - 5*t = -12, -2*i + 7*t - j*t = 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3*q - 1392*a**2*q + 2*a - 13287*q wrt a.\nAnswer: -3*a**2*q - 2784*a*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*w = 3046, -2*w + 529 = 3*s - 1764. Let t = 6881\/9 - s. What is the common denominator of t and (-9130)\/88*(-2)\/15 - 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -661*c**3*o**3 - 3*c**3*o**2 - 5*c**2 + 66*c*o**3 - 46*c*o**2 wrt o?\nAnswer: -3966*c**3 + 396*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 606, 656, 156, -876, -2422, -4464?\nAnswer: -6984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -441 - -376. What is the tens digit of 1\/5*-1 - 46943\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 + 60*v + 57 = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216*g**3*j**2*l**3 + 2*g**3*j**2*l**2 - 11*g**3*l**3 - 7*g**3 + 33*g**2*j*l**2 - g**2*l**2 wrt j.\nAnswer: -432*g**3*l**3 + 4*g**3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 14. Suppose k + 3*k = -4. What is the common denominator of -91\/10 and (k - 1)*y\/54?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 0.27, -0.3, 16 in increasing order.\nAnswer: -0.3, -0.16, 0.27, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16391 (base 10) to base 6.\nAnswer: -203515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 0.5 (c) -7\/4 (d) 0.2 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 247 = -230. Suppose 0 = -15*j - w + 594. Calculate the greatest common factor of j and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.68 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 16) in base 6?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1440, -1435, -1428, -1419, -1408, -1395, -1380?\n\"Answer: o**2 + 2*o - 1443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(10)\/sqrt(2) + -1)**2 - (4 + sqrt(45)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8259 - -8931. Calculate the remainder when c is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184667518 and 518?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -ac9?\nAnswer: -ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + x**2 + x**2 + 3 - 3 + (2*x + 2 - 2)*(-2*x - x + 4*x) - x**2 + 5*x**2 - 2*x**2 - 1 + 1 + 3*x**2 - 3*x + 3*x**2 + 3*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5)*x)**(-41))**(-42\/5)*(x**(-2\/5))**(-2)\/(x**(-3\/7)*x**(1\/5)\/x*x) assuming x is positive.\nAnswer: x**(144828\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7385*p + 4 + 3689*p - 4 + 3684*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5582806341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(1 + (sqrt(1900) + 0)**2) - (-1 + 4 + sqrt(1900) + sqrt(1900) + 0 + 2)**2.\nAnswer: -17132 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-2*l + 8*l + 7*l)*(38*l - 2527 + 2527) + 7*l - 7*l + 3*l**2.\nAnswer: -985*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 6*l + 4. Let u be w(6). Suppose 2*r - 4 = -u*m, -r - 3*m - 1 = -2*m. What is the biggest value in r, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-27)*r*r**30\/r*(r*r**11*r)**(10\/19) assuming r is positive.\nAnswer: r**(187\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 81\/(-12) - (-2)\/(-8). Let r be 4\/(-8) - b\/2. Solve 3 = 2*l - r*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90140 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 14480.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/((-27)\/12 - -3). Suppose -s*y = y + 5*y. Solve -2*p = -y*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 467.5 - 378. Let p = s + -90. What is the second smallest value in p, -4\/7, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 607, 572, 537, 502, 467, 432?\n\"Answer: -35*g + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15637 - 14?\nAnswer: -15653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**8\/504 - 2*l**7\/315 - l**6\/45 + l**5\/45 + l**4\/12 + 209*l**2. Solve o(m) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(-1 + 2 + 1)*(1 - z - 1) + (0 - 3 + 2)*(-4*z - z + 3*z) + z + 3*z + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29207470 divided by -230?\nAnswer: 126989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24397915.\nAnswer: 5, 4879583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - 117. Solve n - t*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = 6. Suppose 2*r + 3 + m = 0. Suppose -5*z = -7 - 18. Let x(p) = 2*p + 2. Let l(n) = 4*n + 5. Calculate r*l(b) + z*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-3)*82863\/(-1782). Solve 127*x = k*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.0921017 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/7 (b) -81578 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1607*x**2 - 37*x + 1602*x**2 + 73*x**3 + 88*x**3 wrt x?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 241, 304, 331, 310?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 835\/25 + 6\/(-15). Suppose -4*o + w + 111 = 0. Suppose -37 - 59 = -4*b. Calculate the highest common divisor of o and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/2 - 2*k**2 + 66. Let d(z) = z. Determine d(l(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 320 = -335. Put m, 3, -28 in decreasing order.\nAnswer: m, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53993 - -86033. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/(o*o*o**(-1))))*o)**(-3\/37))**39*(o\/o**(-2\/21)*o\/o**(-1))\/(o**6*o**(2\/13)) assuming o is positive.\nAnswer: o**(-94777\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-525) + (1509244\/30 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 + 58?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 353217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725.052 millilitres in litres?\nAnswer: 7.725052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 34 = 6*k + 5*v, 3*v = -4*k - 21. Sort -3, k, -2, 1, 9 in increasing order.\nAnswer: k, -3, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 2\/9, -8\/7, 26 in increasing order.\nAnswer: -8\/7, -1\/15, 2\/9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 9) in base 2?\nAnswer: 100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h - 1. What is k(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 3*t**2 - 3*t - 1. What is the units digit of y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8312, -16800, -25450, -34262, -43236?\n\"Answer: -81*a**2 - 8245*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 4a3087?\nAnswer: 4a308a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -19, -1, 14, -4 in decreasing order.\nAnswer: 14, -1, -4, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3908*w**3 + 398*w - 399*w + 64 + 20*w**2 - 61 wrt w?\nAnswer: -23448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 570 and -15.\nAnswer: -8550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 13*u + 8)*(-4*u + 0*u + 2*u) + (2*u + 3*u - 6*u)*(-1 + 2*u + 1).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/84*(-16)\/(-4578). Let a = 569981\/68670 - b. What is the common denominator of -5\/22 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2463, -14 in decreasing order.\nAnswer: 2463, 11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - (2494 - -17))\/(1\/(-6000)). What is a rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -77) + -5 + 6. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in 0.3, 0.2, 5.37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21972657.\nAnswer: 3, 7, 367, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/47)\/t*t*t**25 assuming t is positive.\nAnswer: t**(1177\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 + 4*y - 4. Give i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-72)\/16 + 4 + 1365\/2. Let t = 687 - m. Let z = -27 + 53. Calculate the remainder when z is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (27 + 30 - 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2848*g - 3716*g - 6132*g. Suppose -4 + 7 = -n. Let p be t(n). Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2 (c) 0.1 (d) -34 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10284.6 and 4.\nAnswer: -41138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h - 1. Let a be i(-2). Is 1\/22 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 11 + 35. Let g(p) = p**2 - 4*p + 2. Let i be g(4). Let q(b) = 3*b**2 - v*b + i*b + 4 - 1. Determine q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**8\/48 - m**4\/3 + 12*m**2. What is the second derivative of h(g) wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63817 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -129*y = -130*y + 30. Let m be (-25)\/(-15)*b\/y. Put m, 5, -2\/7, 0.3 in increasing order.\nAnswer: -2\/7, m, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d**2 - 217*d - 962. What is r(-4)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135 and 71.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 38*c - 18, -15 = -8*v + 10*v + 5*c for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*f + f - 1 - f**3 - 2*f to the form r + o*f**3 + x*f**2 + z*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 + 43*p + 7. Calculate the remainder when 31 is divided by j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -20*o**2 - 13\/2*o**6 + 40 + 0*o**5 + 0*o**4 + 0*o**3 + 0*o. What is the second derivative of t(z) wrt z?\nAnswer: -780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/4)\/a))**(3\/14)*(a*(a*a**4)\/a)**(25\/2))**26 assuming a is positive.\nAnswer: a**(6539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1849 + -1849. What is the closest to -1\/2 in 0.7, -5, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 769*y - 4*y**2 - 18 - 769*y + 5. Suppose -2*i = -0*i - 6. Suppose -i*o = 2*o - 30. Let d(j) = -2*j**2 - 7. Give o*b(k) - 11*d(k).\nAnswer: -2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1549\/(-418230)*((-69)\/9 - -1)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, o: 2}. Give prob of picking 2 p.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/2)\/a*a)**(2\/89)\/(a\/a**(2\/7))**(-27) assuming a is positive.\nAnswer: a**(12050\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -6. Is p <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 83 - (1 - (-2 - -3)). Suppose -3 + t = 4*a. Let v(o) = -2*o**3 + 49*o**2 + 25*o + 18. What is the lowest common multiple of v(25) and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*m + 57 = 0, -14*j - 1438*m + 124 + 26 = -1435*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/5 - 112*c**2\/5 + 882*c\/5 = 0.\nAnswer: -63, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01506 rounded to 2 dps?\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)\/(2 + 3 + 5). Sort -2\/9, p, -11 in descending order.\nAnswer: p, -2\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3348 and 1674?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 37, 54, 71?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 121\/110 + 6\/(-4). Which is smaller: q or 10\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7743.581 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 0*w - 20. Sort w, -2, -5, -1 in decreasing order.\nAnswer: w, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Let l(d) = -6*d - 5. Let c(m) = 7*m + 6. Suppose 2*a - 60 = 14*a. Let f(q) = a*c(q) - 6*l(q). What is -11*f(x) + 4*z(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 0.992, 0.5, -1 in decreasing order.\nAnswer: 7, 0.992, 0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/6*4\/(-6). Let r = -139\/57 + n. Suppose 5*p + 1 = 1. Are r and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7333487 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 6*g + 2. Let h be (g\/6)\/((-1)\/18). Calculate the common denominator of (h\/28)\/((-9)\/24) and -53\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*r**4 + 10*r**5 + 12*r + 11*r**5 - 33*r**3 + 36*r**2 - 136*r**4 = 0. Calculate r.\nAnswer: -1, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 352*y**2. Let w(f) = -90*f**2 - 92*f**2 + 358*f**2 - 87*f**2 - 90*f**2. What is w(l(g))?\nAnswer: -123904*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 24 = -2*z, 8 = 4*z + 5*g - 68. Let x = 67 + -64. Suppose 0 = 2*n - 2, s + 6*n - x = 5*n. Solve -s + z = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -30*f**2 - 652*f + 17. What are the prime factors of m(-13)?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5))**(-2\/17))**(2\/29)*(c\/(c\/(c**(-1\/6)\/c))*(c*c\/(c*c*c\/(c*c**(-3))))\/c)\/(c**(-1)\/c**2) assuming c is positive.\nAnswer: c**(-31997\/14790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let x = -60 - -61. Let v(j) = 42*j**3 - 4*j**2 + j + 13. Let c(f) = x*v(f) + 2*o(f). Find the second derivative of c(l) wrt l.\nAnswer: 252*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*x + 3*w - 9, 2*x = 4*w - 12. Let p = x + 15. Factor 0*t + 0 - 1\/5*t**2 + 3\/5*t**3 - 3\/5*t**4 + 1\/5*t**p.\nAnswer: t**2*(t - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -244, -608, -1172, -1954?\n\"Answer: -3*l**3 - 73*l**2 + 58*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15346*y**2 + 2*y - 873. Let x(o) = 7682*o**2 - o + 436. Let m(c) = 3*h(c) + 5*x(c). Find the second derivative of m(a) wrt a.\nAnswer: -15256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l. Let f(v) be the first derivative of -10*v**3\/3 + 5*v**2\/2 + 2*v - 228. Give -f(q) + 5*j(q).\nAnswer: 5*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -473\/7. What is the smallest value in h, 4, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -25*q - 4. List the prime factors of f(-10).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3476133*j**5 + 99666927*j?\nAnswer: -69522660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30*b - 16. Let m be l(-1). Calculate the highest common divisor of 448 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 298.\nAnswer: -5\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 658 + 2042. What is t rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2\/99, -2, 1\/4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-419*b**2 + 70*b**2 + 30*b**2)*(8*b + b - b).\nAnswer: -2552*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*14701\/(-7230)*(-6 - -1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(242) + sqrt(2)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q - 2*q)*(47 + 12*q**2 - 10*q**2 - 2*q + 3*q) as w*q**3 + a + l*q + v*q**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*h = 45 - 28, 5*h = -5*s + 5. Suppose -2*t = -0*t - l - 110, -s*l = 0. Solve 0 = 12*r - r + t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 90, 0.1, -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) - 0 - (-1515225)\/178 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r = 21*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1993860 divided by 330\nAnswer: -6042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m = 88*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -16*g + 6, 10*g - 10*g - 575 = 2*x - 585 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/11 - 63594*v**2\/11 - 127180*v\/11.\nAnswer: -2*v*(v + 2)*(v + 31795)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 - -377. What is the highest common factor of r and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p. Let x(v) be the first derivative of -v**3\/3 - v**2\/2 + 22. Let j(q) = 2*a(q) - 6*x(q). Factor j(z).\nAnswer: 2*z*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177533180 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t + 64. What is b(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Suppose -15*z + 687 = 612. Let b(q) = 6*q + 6*q - 8 + 8. Give z*i(k) + b(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 66618874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51\/29 - 2144\/609. What is the common denominator of s and -22*(-13)\/(-140) + 1?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) 5 (c) 1601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 2*b + 5 + 5*b - 2. Let v(u) = -15*u - 11. Suppose 6*o - 2*o = 88. Suppose 5*j - 5*k = 45, -j + 0*j = 2*k. Calculate j*v(p) + o*n(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -569, -1123, -1899, -2903, -4141?\nAnswer: -5619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 4. Let v be k(5). Let u be ((-3)\/2)\/(v\/(-12)). Solve u*r + 6 - 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:45 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 9. Let g(p) = -20*p + 24. Calculate b(g(q)).\nAnswer: 20*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((2*sqrt(18))\/sqrt(6))*4.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwcmfwmfrrfmmrwwam. Give prob of picking 1 m and 1 a.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(54\/(-270))*(-6)\/(-90)*51?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12.96. Which is smaller: o or 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 2*s + 0*s. Let l(o) be the second derivative of 0*o**2 - 2*o - 1\/6*o**4 + 0*o**3 + 0. What is r(l(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -206?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8*v + 75. Give b(-8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 5*g - k, -5*k = 2*g - 2*k + 60. Let d be (-4)\/6 - 96\/g. Solve -3*j - j = d*o + 20, -2*o - 24 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2908 is divided by 629?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 4*j. Let n(z) = 3*z**2 + 5*z. Let r(u) = -3*n(u) + 4*y(u). Let i be r(0). Solve -k + 4*m - 11 = i, 4*k + 2 = m - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11651*z - 11633*z = 13734. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*f + 19 = -2*f, 0 = 5*f + 25. Let n(p) = -p**3 + 2*p**2 + 4*p - 1. What is the units digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Let l(g) = g**2 - 11*g - 12. Let p be l(12). Suppose c - 5*c + 12 = p. Solve -1 - c = 4*t, -h*t = 3*b + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4076 less than 181.326?\nAnswer: -3894.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 14*o + 10. Let h be s(15). Let d = -15 + 21. Sort 5, h, d in increasing order.\nAnswer: h, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -19. Let o(t) be the first derivative of 2*t**2 + 3. Let x be o(1). Solve w = x*d - 7 - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420231 (base 6) to base 16.\nAnswer: -13a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2951.5 and 198199769.\nAnswer: 198202720.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 7. Solve -2*l - 2*l = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)\/(m**(-1\/5)\/m) assuming m is positive.\nAnswer: m**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2293\/4 + 598. Calculate the common denominator of g and 119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, -2, 8894 in descending order.\nAnswer: 8894, -0.2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = x. List the prime factors of 15\/(x\/(32\/(-3))).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47965 or -1994?\nAnswer: 47965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24865 is divided by 956.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - sqrt(108)*-1)\/sqrt(6))\/(3*sqrt(294)).\nAnswer: 2*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - -26) - (-35 - -2 - (195 - 223)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-36))\/(((-5092)\/(-67))\/24168).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 - 5*s**2 - s + s**4 + 3*s**2 to the form y*s**3 + d + o*s + h*s**4 + u*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(22 - 1814). Suppose 2*o - 188 = -2*a + c, -5*o = -2*a + 1084. Suppose -4*g = -2*f - a, 0*f + 3*f - 132 = -g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 3. Let j(a) = -10*a - 2. Let z be j(0). Let w(n) = n - 2. What is z*w(p) - 3*o(p)?\nAnswer: p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1288*b**5 + b**4 - 474*b**3 - 26964720*b wrt b?\nAnswer: 25760*b**3 + 12*b**2 - 2844*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 2, f: 1, y: 4, u: 3, k: 2}. What is prob of sequence ppuk?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -15\/2528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -2.1, 7\/5 in descending order.\nAnswer: 7\/5, -2\/17, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 2 k when four letters picked without replacement from umukzzuukuzu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 1\/5 (c) 2\/45 (d) -138 (e) -1\/4 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 41 + (14 + -17 - 21) - (1 + -40).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, y: 1, i: 8}. Give prob of picking 4 f.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 - 11*u**3\/2 + 6*u**2 + u\/2 - 2 = 0.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2065 = 39*u - 2260. Sort -1, -2, u, -163, 1 in descending order.\nAnswer: u, 1, -1, -2, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:46 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 4, a: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 s when three letters picked without replacement from {s: 16, o: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 51328*c + 5120 + 646404\/5*c**2 + 20*c**4 + 3208*c**3 = 0?\nAnswer: -80, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 559 = -5*g, 3*g - 361 = 5*d - d. Suppose q + 334 = 3*j + 3*q, j - g = 3*q. Suppose -2*z + 4*z = 32. What is the highest common factor of j and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10241 divided by -209.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/5 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 33 + 29 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -652 - -655. Solve -648*o + h = -647*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3382*z + 3376*z - 40 = w, -z + 21 - 19 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, g: 2, c: 3, l: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -1 - (-2 - -1 - (6 - 5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1843)\/(-1881) - (-15)\/135\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 4*y + 9, -y + 6 = -213*z + 430*z - 217*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = -y, 0*y + 7 = -y - 4*k. Let v be (3 + (14 + 0 - 3))\/2. Let c = v + 10. Calculate the remainder when c is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 + 242. Calculate the smallest common multiple of j\/22 + 8\/44 and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/54 and 38\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*m**2 + 4\/5 + 4*m.\nAnswer: 4*(m + 1)*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(52)\/sqrt(4) + 4 + sqrt(13) - -1*sqrt(468))**2 - (4*(sqrt(117)*1)\/sqrt(9) - (-3 + 3 + sqrt(208)))**2.\nAnswer: 64*sqrt(13) + 850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 - -296.67. What is z rounded to 2 decimal places?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + (6 - (62 + -70 - (-12 - -2)) - -8)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 45*t**2 - 43*t + 10. Give c(44).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -683 - -9.3?\nAnswer: -673.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 + 5 - (3 + 41)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28291413 and 4?\nAnswer: -113165652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 + 4 + -1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27812760323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/42975 and -82\/197685.\nAnswer: 988425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s + 98. Give i(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x + 1. Determine a(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-4*o**2 + 2*o**2 + 3*o**5 - o**5) + 10*o - 10*o + 8*o**5.\nAnswer: 6*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, -890, -2572, -4928, -7958, -11662?\nAnswer: -16040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubellupeeeeel. Give prob of picking 2 e, 1 p, and 1 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= 0.037838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let s be 2\/n*(0 - 1). Let w = 2 - 1. Is s < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 1, g: 1, c: 1, q: 1}. What is prob of sequence qokc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*l**2 - 26\/3*l - 4 = 0. What is l?\nAnswer: -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = 5*l - 5*z, -5*l + z + 13 = 0. Let k(x) be the first derivative of 37*x**2\/2 + 5*x + 7. List the prime factors of k(l).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 8*b + 11. Let o be d(9). Let j be (8\/o)\/((-1)\/(-5)). Let c be (6\/4)\/(j\/12). Solve -3*y - c = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:22 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761 divided by 4.\nAnswer: 1761\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -60\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 0*c - 2*c. Let f be o(3). Let t be 9*f\/(-1*9). Solve t*y = 5*y + 5*h + 20, -4*y = -h - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124 - -34665?\nAnswer: 34541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 16, 4, -22, -68, -140, -244, -386?\n\"Answer: -z**3 + 2*z**2 - 3*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = -3*f, -3*v + 2*f + 21 = -f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165*k - 70*k - 1496 + 136*k - 26*k wrt k?\nAnswer: 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 66\/(-60) - -7. Let l(w) = -w - 1. Let k be l(-1). Let v be (k - -3) + 1\/(-1). What is the second biggest value in x, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/105 - (-1)\/5. Let f = 9 - 8.91. Let g = f - 4.09. Which is the third biggest value? (a) v (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 2, b: 2, a: 2}. What is prob of sequence ac?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s = -32*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from mmmmmmmqmmmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -37365?\nAnswer: 37363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 17*v + 3861000 = 0. Suppose -b + v = 3*h, 4*h - 3861000 = -0*b - 3*b. Round b to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 34\/(-12))*-180*(-28)\/(-1400)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3142 and 492.\nAnswer: -1545864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 1, y: 2, p: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose -2*l = -3*z - 36, 3*l + s*z = 4*l - 18. Let x = l - 9. Solve 3*m + x = 5*v, 2*v - m = -0*m + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4691.045m to millimeters.\nAnswer: 4691045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/380298 and -67\/58563.\nAnswer: 30804138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*q**2 - 59*q + 122*q + 0*q**3 + 32 - 2*q**3 + q**3.\nAnswer: -(q - 32)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687660477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 6*t + 30. Let m be (-1)\/(5\/20) - 3. Let i(j) = -2*j**2 - 3*j - 16. Let l(b) = m*i(b) - 4*q(b). Differentiate l(d) with respect to d.\nAnswer: 4*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1056)\/28 - 4\/14. Let v = a - -25. Let q = v - -23. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 38*r**2 + 6*r - 232. Let o be m(38). Let l(c) = 5*c - 3. Let f(q) = 16*q - 10. Let n(z) = 2*f(z) - 7*l(z). Calculate n(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, 7, 36, 77?\n\"Answer: 6*h**2 - h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 16\/6)*-21. Let h be (14\/y)\/((-2)\/(-640)). Calculate the greatest common divisor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12373670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 140580500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5 + 25*c + 29*c - 55*c. Let l(i) be the second derivative of i**3\/6 + i**2 - 2*i. Let w be l(4). What is g(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 52, 48, 32, -2?\n\"Answer: -g**3 + 3*g**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-8)\/(-64)*(5 - 17)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbucbt. Give prob of picking 1 t and 2 b.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 30 = 0, w + 2*w + 14 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5862186 is divided by 3504?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 651949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 11*b**3 - 63*b**2 + 27*b + 270.\nAnswer: (b - 15)*(b - 2)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168843 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-4))\/7*708. Suppose -u = -4*q + q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (2 + sqrt(1900)*1)**2*6 + -3) + -4.\nAnswer: 960*sqrt(19) + 45692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 - 25?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -254 - -257. Is 17 a factor of 5 + -3*-55*(l - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**4\/6 - 4*f**3\/3 + 7*f**2 - f. Let k be c(6). Suppose 0 = -36*p + k*p - 6640. Round p to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 17. Let z = 62 - 7. Suppose -o = -i - z. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-21) - 6\/(-7). Let m = -1 + 7. Which is the smallest value? (a) q (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**4 + 16*r**4 + 2*r - 1 + 4*r**3 + 0 to the form n*r + a*r**2 + y*r**4 + i + d*r**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 10, 0.6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 + h**4\/6 + h**3\/6 - h**2 + 2*h. Let s be w(-3). Is (s + -5)*1*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 37*s - 10 = 35*s, 5*o = 4*s + 2. Let m(n) be the third derivative of n**5\/12 + n**4\/8 - n**3\/6 + n**2. Is m(o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let h(k) = -1. Let j(p) = p**3 - p + 1. Let q be j(1). Let d(i) = q*h(i) - 2*t(i). Let z(v) = -6*v - v - 2 + 2*v. Calculate 9*d(s) - 4*z(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16356 + 8946735\/547. Let b = x - 9320\/3829. Calculate the common denominator of b and 5\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 2 - (-93 + 76).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-4)\/8). Suppose r + 4*k - 32 - 3 = 0, -17 = -r - k. Calculate the greatest common divisor of r and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 2*u**7\/105 + u**6\/30 + 6*u**2. Factor d(k).\nAnswer: 4*k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s**3 + 2*s**3)*(0*s + 5*s - 2*s)*(-21*s - 43*s + 41*s).\nAnswer: 69*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 15*g**3 - 18*g**2 + 96*g + 96.\nAnswer: 3*(g - 4)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 65.508. Let w = n + 0.008. Let y = 2.95 + 0.05. Which is the third biggest value? (a) w (b) y (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2407 is divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e (base 16) in base 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -987\/32 or 6\/7?\nAnswer: -987\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s. Let y(p) = p**3 + 7*p**2 + 9*p + 6. Let d be y(-6). Let r be (-18)\/4*8\/d. Suppose 0 = -o + r - 4. Give w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 - 1730933.\nAnswer: -1731092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**3 + 12*a**2 - 50*a + 7. Determine s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.909 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5283 - 5198. Calculate the remainder when 116 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose n + 4 - 3 = 0, i*x + 15 = -5*n. List the prime factors of (-12)\/14*(x + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 533 - 531 = -3*i, 0 = 2*l - i + 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 3\/7, -64662585?\nAnswer: -64662585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 51*y - 453. Suppose 0 = 448*u - 336 - 3696. Calculate h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/64 + (1 - (-5)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5738 - -15775. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 - n**4 + 3*n**4 + (n + 8*n + 7*n)*(0*n**3 + 2*n**3 - 3*n**3).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s - 1. Let a(n) = -n**2 - 7*n - 6. Calculate the smallest common multiple of a(-5) and f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 4) to base 15\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7295\/4 - -1834. Calculate the common denominator of j and 33\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -2. Let w(b) = -2 + 5 + 1 - 2 - 6*b. Let l(d) = -2*d + 1. What is i*w(v) - 8*l(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 4*p**5 - 4*p**5 + (-7*p + 8*p + 4*p)*(-3*p**4 + 2*p**4 - p**4) - p**4 + p**4 - p**5.\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5458 (base 14) in base 12?\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 6. Solve 0*u = -3*u - 5*x + s, -x + 2 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5512? (a) -2.1 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446146 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4413, -8862, -13311, -17760, -22209?\nAnswer: -26658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 55, 125, 223, 349, 503?\n\"Answer: 14*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.0564, -33, 0.7, 7, 2, 3 in decreasing order.\nAnswer: 7, 3, 2, 0.7, 0.0564, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 355*j + 608*j - 10593 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 3, 1, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = s - 48. Solve -17 = 5*i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 33. Let c = -3 + 7. Solve 4*g - d*g + c = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/18 + 33\/6. Suppose -129 - 351 = -k*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*h + 8*s - 644, 5*h = -4*s + 808. What are the prime factors of h?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*o + 45132 - 13192, o - 7969 = 5*z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Suppose 14*s - 7 = 7*s. Let o = -3 + 4. Let z(u) = -o - u + s. Give g(z(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -227. Let b = -148.1 - l. Let i = b + -6.8. What is the nearest to i in -1\/5, -0.6, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h**3 + 13*h**3 - 3*h**2 - 3*h + 3*h**3. Calculate g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose h = 3*w + p, -w = -2*w + p - 4. Let z be 0\/(2 - (w + 1)). Sort -1\/7, z, 1\/4 in decreasing order.\nAnswer: 1\/4, z, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q - 15*q + 13*q - 20*q - 9. Let f be o(-6). Suppose 46 - f = -5*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2578 and 36577953.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(-806*w + 125*w - 2176*w)*(-1 + 1 - 2) to the form c + z*w and give z.\nAnswer: 5714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v**3 - 21*v**2\/2 - 12*v + 15\/2 = 0. Calculate v.\nAnswer: -1, 1\/2, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/144 + 11*p**4\/3 + 13*p. Let n(s) be the third derivative of l(s). Let r(q) = 4*q**2. Give n(r(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 + 8*d**2 - 2454*d - 2455. Calculate v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*q = -0*q - 22, 3*j - 2*q - 10 = 0. Let o(a) = 3*a + 2*a + 0*a - a**3 + j*a**2 - 9*a. What is o(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -397, -398, -399?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/560 and 27\/6160.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - g + 8. Let b be d(6). Let a(t) = 3*t - 1. Calculate the remainder when a(b) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(55) - sqrt(55)*2))\/sqrt(5) - (-4*sqrt(77)\/sqrt(7) + 4).\nAnswer: -4 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.13\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(83 - 38*t - 83)*(-5*t + 2*t + 2*t).\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779202 is divided by 1265.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 19. Suppose 12 = -6*f + z*f. What is the tens digit of 6080\/133 + f\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-136))\/(203\/290).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42447, -42454, -42465, -42480, -42499?\nAnswer: -42522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 4. Let y be 21\/(-6)*(-1 + (-5)\/7). Let x be t(y). Solve 0 = 5*p - 4*b + 16, x*b - 5*b + 1 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - c)*(-5*c**2 + 2*c**2 + 2*c**2) + c - c - 2*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + a = 9, 0*p - 24 = -2*p - 4*a. Let k(n) = -n**3 - 8*n**2 - 6*n + 7. Let s be k(-7). What is the first derivative of s*z + 4*z + p - z - z wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 9491 = -3*u - 9497, -3*u - 30 = -5*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, w: 1, g: 2, y: 3}. What is prob of sequence aygw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/111725850 and -79\/10.\nAnswer: 111725850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 24.9. Let v = -2.9 - -3. Let m = q - v. Which is the smallest value? (a) 0.1 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9522501 + -18887501. Round l to the nearest one hundred thousand.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*f. Solve -i - r + f = 3*i, -3*i - 5*r = -22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/9 - 80*q**4\/9 - 26*q**3\/9 + 6484*q**2\/9 - 27584*q\/9 + 30784\/9 = 0. What is q?\nAnswer: -37, -13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*m**3*p**2 - 1788*k**2*m**3*p - k*m**3*p**2 + k*m**2 - 332*p**2 wrt k?\nAnswer: 4*m**3*p**2 - 3576*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10518 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + z**4 + 5 + (-2*z**3 + 0 + 0)*(3*z + 0*z + z) - 2*z**4 + 1 - 1 + 0*z + 0*z - 2*z**4 in the form y*z + a*z**4 + m*z**2 + t + j*z**3 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14097 and 61\/88773.\nAnswer: 3284601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let s(x) = -5*x - 3. Let q be s(-2). Calculate the remainder when 15 is divided by j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 + 10 + (4 - 2) - 1) + -28?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 - z**4 - 6*z**4)*(-133*z - 11*z - 5*z).\nAnswer: 1490*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 6*j**2 - 4*j**2 + 15*j.\nAnswer: 2*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**2 - 6*y. Let q(g) = -19*g**2 + 11*g. Determine -11*i(n) - 6*q(n).\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1347, 1914, 2479, 3042, 3603, 4162, 4719?\n\"Answer: -j**2 + 570*j + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7*h + 5*h = -40, 0 = 4*i - h - 52. What is the remainder when 35\/1 + 1 + -1 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501962266.\nAnswer: 2, 13, 701, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 38 = -9*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 9013*v + 3606 = 0. What is v?\nAnswer: -1803, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 5*c - 4. Let u(f) = f**2 - 2*f + 1. Let i(z) = p(z) + 2*u(z). Give i(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 138609, 277181, 415753, 554325?\n\"Answer: 138572*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 6. Let d be v(7). Let b = -25 + d. Let t = 35 - -9. What is the greatest common divisor of b and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4605352 (base 9) in base 3?\nAnswer: -11200012101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563 + 1720 - 623 - 592 + 8*x.\nAnswer: 8*x - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*i + 3\/4*i**2 + 0.\nAnswer: 3*i*(i - 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/24)\/((-35)\/(-504)*4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 287*j**2*x**3 - 2*j**2*x**2 + 6*j**2*x - 550638*j*x**4 + 6936*j*x**2 - 255*j wrt x.\nAnswer: 1722*j**2 - 13215312*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/300 - u**4\/15 - 2*u**3\/5 - 141*u**2\/2 - 15*u. Let n(j) be the first derivative of d(j). Factor n(c).\nAnswer: -(c + 2)*(c + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b - 3. Let j(n) = -2*n**2 - n. Let d(r) = 3*r**2 + 2*r. Let w(i) = 2*d(i) + 4*j(i). Calculate w(v(u)).\nAnswer: -288*u**2 + 144*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/20 - 5*w**4\/4 + 8*w**3\/3 - 9*w**2 + 5*w - 49. Determine x(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 14) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 + 5 = 4*l, 4 = l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 + 5235390*z**2 + 2284109037675*z = 0. Calculate z.\nAnswer: -872565, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2 - 18. Let o(v) = 0*v + v - c + 15. Is o(-9) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.78 - 5.78. Which is the closest to s? (a) -2 (b) 13\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + 7*v - 5. Let d be j(6). Let t = d - 5. List the prime factors of t + (-4 - (1 - 2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 - 0 - 2). Let w(u) = u + 11. Let s be w(i). Solve 0*v + 4*v = s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1740 and 43\/3480?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -52*v**2 + 222*v - 5. Let n(a) = -17*a**2 + 74*a - 2. Let r(p) = -7*n(p) + 2*t(p). Let d be r(7). What is the greatest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/11606683 and -53\/91798311?\nAnswer: 1009781421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(14)*4)\/sqrt(7))**2 + (sqrt(20)*-3)\/sqrt(10).\nAnswer: -3*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31313*y + 31312*y - 51*q = -254, 0 = 4*y + 5*q - 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*o - 15755 - 16324 = -5499 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + (-1 - -30))*((-372)\/(-84) - 9\/21).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*u + 3*a, 3*u - 4*u + 4*a = -44. Let x(p) = 2*p**3 + 17*p**2 + 24*p + 8. Let g be x(-4). What is the greatest common factor of g and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7759645 divided by -1551929?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {k: 2, b: 1, v: 1, l: 5, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -11*m**5 + 89*m. Let y = -44 + 37. Let c(v) = 7*v**5 - 59*v. Let j(x) = y*c(x) - 5*q(x). Find the second derivative of j(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -84. Let y = -3467\/13 - -830\/91. Let d = -257 - y. What is the nearest to -1 in s, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22. Let f be -16 + 24 + t*2. Solve f = -3*o, 0 = m - 3*o - 3 - 14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhjxnpjxk. Give prob of sequence khjn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30681733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*f - 2713, -3*d - 4*f + 1324 = -5*d. Let o = d - -1196. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*p**3 - 5*p**3 - 6*p**3 + 14 - 3 wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 1. Let g(y) = -2. Let c be -2 + (-4)\/(12\/(-9)). Let d(t) = c*g(t) + 2*u(t). Let j(o) = 13*o. Give j(d(h)).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 7*v**2 - 9*v - 6. Let w be o(-6). What is the remainder when (-16)\/6*(-243)\/w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5386 + 5392 - 10778 + 4043*g + 2346*g)*(0 + 3 - 1).\nAnswer: 12778*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*w**2 - 13 + 13 as o*w**2 + l*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 0.3326.\nAnswer: 6.3194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let p = 6.000085 - f. What is p rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416 + 421. Let g = 6 - 6.3. Which is the third biggest value? (a) 0 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -9*b - 23. Let y(g) = -5*g**3 - 9*g**2 + 2*g + 1. What is the hundreds digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 9. Suppose 2 - w = 2*k. Let p = -66\/19 - -64\/19. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*y + 6 - 7 = 0, -3*u + 3*y = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1784*d**2 - 1393 wrt d.\nAnswer: 3568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 + 3*s**2 - 5*s**2 + (-5 + 5 - s)*(5*s - 4*s - 2*s) - 2 + 2 + s**2 + 0 + 2*s**2 + 0 + 6*s**2 + 2*s - s + s.\nAnswer: 11*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000816601779 to six decimal places.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 164112.\nAnswer: 164112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12055*z = -12044*z + 88 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/3 - 18*p**2 - 239*p + 1. Give f(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.86 and -36.\nAnswer: 66.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 20*n + 121. List the prime factors of d(22).\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 12*a**2 + 15*a - 9. What is h(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.538 + 0.462. Let x = 3 - 3.3. Which is the nearest to -2\/9? (a) g (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j = -31*j - 26*j - 64 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**6*c)\/(c*c*c**2))**37*(c**(1\/4)\/(c*c**(-3\/8)))**(-5\/6) assuming c is positive.\nAnswer: c**(2373\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -4*m. Suppose 5*k + 6 + 13 = -p, 7 = -p - k. Put 2, m, p in increasing order.\nAnswer: p, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.438 + -3.438. Which is the nearest to 1? (a) -0.3 (b) 1\/3 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/25 (c) 1\/3 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-3600)\/(-10)))\/(560\/700).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 18. Suppose d = 4*m - 114. Suppose 3*f = -9, -33 = -3*q + 2*f + m. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -1830?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -16. Suppose 7*j - n = j. Suppose -9*p = -j*p - 4. Solve -4*c - z = 1 + 11, p*c + 3*z + 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*m - 10*m. Let d(p) = -p**2 - 9*p - 21. Let b be d(m). Let w be (b\/6 + 0)*-48. Solve 6*t + 14 = 3*t + z, 5*t - z = -w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0*m**3 + 2 - m**3 + 2*m + 5*m + 9*m**2 - 9. What is the tens digit of l(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = -5*b - 1, -i + 13 = 3*b. Calculate the highest common divisor of 18 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33\/25 - 7\/25. Let b = t + 14\/15. Suppose -2*w + 0*w = 0. What is the nearest to 2\/7 in w, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6916 and 46332?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.73141 times 0.52\nAnswer: -0.3803332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/2*24\/(-14). Suppose 3*c - m = -5*o, 4*c = 3*o - 4*o + 8. Suppose o*n = -3*n + 537. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3\/3 + 3*a**2 - 4*a + 118. Let z(k) = -k**3 - 5*k**2 - 3*k. Let l be z(-5). Let j = l - 21. Determine c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2548738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57128, 114266, 171404, 228542, 285680?\nAnswer: 342818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l**2 - 75*l**2 + 35*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 17 = 19, 4*y - 5 = -3*z. Solve -y*o = 4, 4 = 2*n - 23*o + 26*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(96) - sqrt(96))\/(sqrt(6) + -1*(sqrt(6)*1 + sqrt(6))))\/(3*(sqrt(128)*-2 + sqrt(128))*-6)*5.\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(228)\/(sqrt(12) - (sqrt(300) + sqrt(300)*-1)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q**2 + 29*q - 128?\nAnswer: 6*q + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-11)\/132)\/((-3)\/3*(-3)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m - 3 - 3\/2*m**2 + 1\/3*m**3. Find the second derivative of t(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609309916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - 16 - -17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -51144.\nAnswer: 153432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2020.423779783 + -210\nAnswer: 1810.423779783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + -1*((2 + sqrt(3))*-6 + sqrt(12) + 3))**2 + 4.\nAnswer: 56*sqrt(3) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 682090230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.049.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) -2\/5 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let f be ((-5)\/15)\/(z\/6). Which is smaller: f or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -dfa (base 16) in base 2?\nAnswer: -110111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 + 5)*(0*a - a + 2*a) - 7*a - 6*a + 4*a)*(a + a - a) to y + s*a**2 + n*a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 19*m**3 - 14*m**3 + 9*m**2 + 43*m**3 - 13*m**3 as s*m**3 + x + v*m + z*m**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 3, r: 3, q: 1, z: 1, v: 3, k: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 27726 = -2*b, -k - 4*b + 6935 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 9*q - 5. Let k be d(-6). Suppose -5 + k = 2*j. Calculate the greatest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/28 - 4\/(-14)*-9) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1*(-2)\/(-4)). Suppose 0*y - x*y = -2. Suppose -s = -0*s + y. Which is the closest to 0? (a) 1\/4 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let m(s) = -76*s**2. What is m(d(p))?\nAnswer: -304*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342140 and 598745?\nAnswer: 2394980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1893810 and 7650?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37775 + 25275. Round h to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5629 is divided by 491?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114b + -5?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 20 + 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 16. Let l be w(-5). Suppose 32*s = l*s - 178. What are the prime factors of s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (-6 - (6 + -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 103.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -722*g + 7223. Let y be s(10). Solve -11*c + 14*c + 9 = y*p, 3*p + 21 = -3*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113858 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12928, -38972, -78128, -130396?\nAnswer: -195776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950248720.\nAnswer: 2, 5, 11878109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-11342)\/3638 - 4\/(-34)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 6. Let v(y) = -y**3 - y**2 - y. Let j(q) = 3*q**3 + 2*q**2 + 2*q. Give d*v(k) - 3*j(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -618*q**2 + 4*q + 50 wrt q?\nAnswer: -1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y**5 + 5651*y**4 - 768296*y**3 + 14170108*y**2 + 27028128*y - 8861184 = 0. What is y?\nAnswer: -2, 2\/7, 24, 144, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let z(k) = -20*k - k**n + 1 - 5 + 8*k. Is z(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from yygguyyyygyugvyvyvy?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p - 10. Let y be v(5). Suppose 3*u - 2*c + 0*c - y = 0, u - 17 = -5*c. Calculate the greatest common divisor of 81 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 82 - 53 = 0. Let m be (90\/g)\/(2\/3). Suppose 5*q - r - 17 = 0, -m*r = -3*q - 5 + 2. Are 3 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*2)\/sqrt(9))\/(-4*sqrt(108)) - ((sqrt(297) - sqrt(297)*-2)\/sqrt(11))\/(sqrt(63)\/sqrt(7)*5).\nAnswer: -41*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vismismgmmrivg. What is prob of sequence ivv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 524 = -5*x, 4*x = -0*b + b - 262. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5*h + 0 + 0*h**2 - 2\/5*h**4 - 6\/5*h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103.95 + 104. Let n = -0.5 - -1.9. Let z = p - n. What is z rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895, 931, 989, 1075, 1195, 1355, 1561, 1819?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/20 + o**4\/6 - o**3\/2 + 3*o**2\/2 + 2*o. Let q be p(-3). Find the first derivative of 0*l**2 + 3 - 2 - q*l**2 + 2 wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3190\/30 - 1)*3\/2 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 22, -5\/3, 48, -4\/7, -5, -0.17?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 224840 (base 10) in base 14?\nAnswer: 5bd20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {r: 2, u: 2, w: 1, b: 1, z: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1829*c**3 + 27089*c**2?\nAnswer: 10974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*p**2 + 3*p**4 - p**4 - 6*p**3 - 138*p**2 + 0*p**4 in the form v*p**3 + j*p**2 + b*p**4 + z + k*p and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(13\/2)\/(o\/(o**(14\/3)\/o))*(o**2)**(3\/13) assuming o is positive.\nAnswer: o**(751\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -574*v**2 - 13149*v - 225558088 wrt v?\nAnswer: -1148*v - 13149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.94. Let w = -2.9 - -3. Let s = -0.4 + 0.2. What is the third biggest value in w, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 167a?\nAnswer: 167b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - x - 3*x + 260 = 0, 3*p = x + 207. Let o be (-2)\/3 + p\/3. Let y = 37 - o. Solve -n = 4*n + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-15)\/p*p*p)\/p)\/p)\/p*p*p\/p**(-3\/23) assuming p is positive.\nAnswer: p**(-319\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235865 and 1444170?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 3, 3\/2, 1.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492745 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -67, -0.1, -1\/4, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18947985?\nAnswer: 3, 5, 7, 181, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-5)\/(-3))\/(6\/4). Let j = 0.975 - -0.175. Let n = j + -1.1. Which is the nearest to n? (a) 1\/4 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 10*d - 11. Determine j(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 + 6 - 4 - 1 + h**2. Let d be g(0). Suppose 35 + 35 = d*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1 (b) -2 (c) -13\/4 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13345 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-22))\/1*(-684)\/10260?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110111101010101011 (base 2) in base 4?\nAnswer: -23313222223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 121*r + 2 - 130*r - 5.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57927643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y - 191. What are the prime factors of y\/(-4) - 42\/56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 27 = -2*m. Let n be (1\/(-3))\/(m\/(-36)). Let x be 101 + (n - 0) + 2. Calculate the greatest common divisor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*r - 2*r - 5*t, -2*r + 26 = -5*t. Solve 4*k - 4*c = 16, 3*k + r*c + c = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (14 + -4 + -14)) + -6 - -60?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49031 and 3414.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 6444*b - 10381284.\nAnswer: -(b + 3222)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 6, 29*r + 18 = -3*v + 26*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 14, 7, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3031, 6266, 9703, 13342, 17183?\n\"Answer: 101*m**2 + 2932*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218.2 + 218. Suppose -4*r + n = -13, 17 = r - n - 2*n. Which is the smallest value? (a) r (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-4)\/(-12)*-4. Let z be -3 + 3 + 1 + -3. Sort -5, z, j in decreasing order.\nAnswer: z, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*(-15)\/10. Let r(i) = 0 - 1 - p - i - 3*i. What is the remainder when r(-5) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1225*j**2. Let w(p) = -1247051*p**2. Give -3055*i(u) - 3*w(u).\nAnswer: -1222*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 11 - 34 = 0. Let z = i - 39. Let b = 16 - z. Calculate the remainder when 61 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 3*g**4 - 4*g**2 + (-3*g + 3*g + g)*(-g**3 + 1 - 1) - 3*g**4 - 3*g**4 + 2*g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -854.23?\nAnswer: -854.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15694379 to the nearest integer?\nAnswer: 3962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301 + 314. Calculate the remainder when 108 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-9 - -6) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 10314*r - 1. Let b be l(1). Let m = -103229\/10 + b. Find the common denominator of m and 47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 16) to base 15\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1 (c) -2\/7 (d) -289\/4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 6) to base 12\nAnswer: -338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 a when four letters picked without replacement from {r: 4, a: 3, d: 6, b: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72460*g - 71020*g + 165704*g to a*g + i and give a.\nAnswer: 22224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = 4*i, 5 + 10 = 3*i. What is the units digit of ((-3)\/r)\/((-36)\/(-192))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 4*x + 1. Let g be w(-3). Is ((-2)\/g)\/(6\/(-372)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from {u: 6, y: 4, z: 9}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.041 and 0.067379.\nAnswer: -0.002762539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 45 = 3*s. Let n be (-12)\/2*(-1)\/3. Suppose 0 = -2*l + n*y + 44, -l - y + 5 = -s. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 1 - 7 - (-1)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -16a6?\nAnswer: 16a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u. Let l(f) = 9*f - 6. Let p(j) = 3*j - 11. Let o(a) = 2*a - 7. Let h(s) = -8*o(s) + 5*p(s). Let x(q) = -18*h(q) - 3*l(q). Determine x(d(i)).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 48*u + 38 = 56*u, 4*u - 12 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -111, 119, -4, 73 in increasing order.\nAnswer: -111, -4, 2, 73, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 588462 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 1) + -25 + (29 - -14)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056*n**3 + 2063*n**3 - 4120*n**3 - 13*n - 105 + 105.\nAnswer: -n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4425 - 1727. Is 2 + (1 - d\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 21719749?\nAnswer: 19\/21719749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 921956 and 3724?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 9910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240.1 + -250. Is r less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**3 + 4*v**3 + 2*v**3)*((6 - 1 - 3)*(0 - 6 + 0)*(-13 - 4 + 0) + 0 + 1 - 2) to the form g*v**3 + o*v**2 + t + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let p(m) = 6*m**3 + 4*m - 6. Calculate 4*i(u) - p(u).\nAnswer: -6*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*v - 22*v - 305 = 0, -2*j - 50 = 4*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:55 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.96525 to zero dps.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -24*v + 19*v. Suppose s = -3*u - 260 + 1602, -4*s = v. Is u + 0*(-5)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(700))*-6)**2 - -4*(2*sqrt(112))**2)*-6*3.\nAnswer: -491688 + 38880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7194, -5303, -3408, -1509, 394?\n\"Answer: 2*q**2 + 1885*q - 9081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20.37, 2\/13, 3, 2\/3, 4 in decreasing order.\nAnswer: 4, 3, 2\/3, 2\/13, -20.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/157949600 and 71\/40?\nAnswer: 157949600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -4.036882?\nAnswer: 1.036882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, e: 4, z: 1, h: 5}. Give prob of sequence hge.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 41. Determine f(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -14*t - 4. Let x(v) = -v**3 + 3*v**2 + 3*v - 2. Suppose -8*m = -7*m - 4. Let b be x(m). What is the units digit of z(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 114 - 187 = 5*r, 300 = 4*x - 4*r. What are the prime factors of x?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 37.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8481557 + 9.1518433. Let w = m - 11. What is w rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)\/sqrt(9))**2 - -6*-3*sqrt(128).\nAnswer: -144*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -7.51. Let w = -19.51 + p. Are -6 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146897 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 195, 29, 3 in decreasing order.\nAnswer: 195, 29, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 + 2*d. Let b(f) = 10*f + 14. Let x(i) = -2*i - 3. Let s(a) = -3*b(a) - 14*x(a). Determine s(y(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*t + 52 = 0, 0*a + 44 = 4*a + 2*t. Suppose -a - 6 = -2*y. Let z = y + -4. Sort -5, 1, z.\nAnswer: -5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435*l + 1593*l + 3476 = 0 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 2\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Suppose -6 = -l + m*l + 5*j, 4*j - 2 = l. Let d be (((-27)\/21)\/(-3))\/1. Which is the third smallest value? (a) l (b) -0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 177 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 1014?\nAnswer: 33462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(-2 + sqrt(13)).\nAnswer: -7 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 1\/9, -1\/7, -0.09?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - s + 167 = 0, 176 = -4*c + 3*s + s. Let k = c + 54. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 624006.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -5 - (-76 - -72 - (21 - 4)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -20 - (2 - 6)) + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, r: 5, g: 1, e: 1}. What is prob of sequence ag?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.437 - -0.037. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422173.8 milligrams in nanograms?\nAnswer: 422173800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 232. Suppose -38 = 4*x - p. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 3*f**4 - 3*f**4)*(-116*f + 129*f + 63*f)*(25 - 3 - 2) - 2*f + 2*f**5 + 2*f.\nAnswer: -3038*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5416 + 5465. Calculate the remainder when 123 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 53*j**2 + 4*j - 88. Let s(m) = m**2 + m - 2. Let t(h) = 4*s(h) - y(h). Find the first derivative of t(c) wrt c.\nAnswer: -98*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 68844540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -110 + (77 - 60).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xiixixxiiixxxi?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y - 2*u - 10, 0 = 3*u. Suppose -3 = -0*o + 3*o. Sort 3, y, o in ascending order.\nAnswer: o, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 - 1. Let i(w) = -w**3 + 2*w - 1. Let j(y) = -i(y) - 2*z(y). Let m(r) = -r**3 + r**2. Let t be m(-1). Give j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*w - 103*w - 9*w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594 divided by 383.\nAnswer: 594\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7986253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + 14\/10. Let r be (6\/(-4) + 1)*-1. Let x(s) = s**2 - 6*s - 182. Let h be x(-11). Which is the closest to -0.2? (a) k (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -17. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 - 5*p + 52. Let k be g(5). Suppose k*s + 1 = 7. Solve 0 = -s*m - 0*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.744 - 1.7440884. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 2*z + (0 - 1 + 2)*(3 + 4*z - 3) + (-1 - 4 + 4)*(-13*z - 4*z + 6*z).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162890326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 479821*l**2\/2 + 90259364*l + 8486041384.\nAnswer: -(l - 480197)*(l + 188)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - x. Suppose 0*h - x = -h. Let b(j) = 4*j - h*j - 1 + j + j**2. What is b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7 + 0*o**3 + 10*o**2 - 17*o - 3 - o**3. Suppose -238*c = -243*c + 35. Calculate the least common multiple of 10 and b(c).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 0 = 21. Suppose -2*g - 41 = -c*m, 2*g = 4*g - m + 35. Is (-2 + g\/(-6))\/((-1)\/(-129)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/24 + 3\/(-18). Let b = 157.2 + -152.231. Let r = b + 0.031. Do v and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {q: 4, k: 3, l: 2, f: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 526a - 1?\nAnswer: 5269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -398705694*w + 456726098 wrt w?\nAnswer: -398705694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 17*x**6\/30 - 19*x**4\/12 + 576*x**2 + 4*x - 259. Differentiate c(t) with respect to t.\nAnswer: 68*t**3 - 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 130.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**2 - 4 + 3 + 1.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 22244*m**2 + 3597440*m + 144409600.\nAnswer: -2*(m - 11282)*(m + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m. Let c(i) = 607*i**2 - 148*i - 2. What is c(n(p))?\nAnswer: 475888*p**2 - 4144*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 4, u: 3}. Give prob of sequence qquq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:35 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 8) to base 10\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 19298 = -5*z, -2*z - 5*f + 12166 - 4440 = 0. Is 153 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 1 + 15 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 121336.755 to the nearest 1000.\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -48\/7, -12, 0.4, -2, -0.3 in descending order.\nAnswer: 194, 0.4, -0.3, -2, -48\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 12. Let k = s - -26.2. Let t = 2.973 - -0.027. Which is the biggest value? (a) t (b) k (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-544)\/44)\/((-714)\/(-1309)) + 1\/3*1\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*i**2*y - a*i**2 - 32*a*i*y + 36*a*y - 14*i**2 + i*y - 3*i + 7 with respect to y.\nAnswer: 2*a*i**2 - 32*a*i + 36*a + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350528853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102121022201 (base 3) to base 6\nAnswer: -4521244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 96. Let b = 1026 + -1020. What is the highest common factor of d and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.2 (b) 75\/2 (c) -1\/22 (d) 0.07 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/11)*x*x\/(x**(-2\/31)\/x) assuming x is positive.\nAnswer: x**(952\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -84*y + 144*y**2 + 4557 - 4570 - 135*y**2. What is v(10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3533 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63\/8 (b) -4 (c) 0.04 (d) -3\/2 (e) 1 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = c + 2*c + 3, -3 = -5*c - 4*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 8097487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2983125983?\nAnswer: 17, 491, 357389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 1\/12, -40, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 146 (b) 1 (c) 6\/11 (d) -0.1 (e) 1164 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*s**2*u - 2*n**2*s**2 - 366*n**2*s*u**2 - 21*n**2*s - n**2*u - 1357*n*u**2 + 14*n*u - 2*s**2*u**2 - 3*s**2*u - 907*u wrt u.\nAnswer: -732*n**2*s - 2714*n - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/110 and 81\/1751150.\nAnswer: 19262650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367552763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 8*x = -67505. Let v = x + -836. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 115.132. Let r = f + -24.868. Is r less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 90 + 87 = -4*h, 2*h - 18 = -4*z. Let x(u) = -2*u**2 + u**3 - 4*u**3 - u**3 - u + 3 + 5*u**3. Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.31 - -17. Let b = 0.01 + j. Let w = b + 3. What is the second smallest value in 4, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-13)\/26)\/(1\/(-6)). Let c be (((-132)\/16)\/(-11))\/(s\/4). Let g = 27100\/11079 + -2\/1231. Does c = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -4, 10, 24, 38, 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 + 201. Find the third derivative of -17*o**2 - 98*o**w + 49*o**5 - 3*o**6 + 2*o**2 + 44*o**5 wrt o.\nAnswer: -360*o**3 - 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1474 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, -0.2, -31, 0.3 in ascending order.\nAnswer: -31, -0.2, -0.1, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3706*-226.\nAnswer: 83.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 102*m**3 + 104*m**3 - 2*m + 52 + 12 as t*m + w*m**3 + u + v*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/15)*z**15)\/(z**(3\/8)\/z**(-11\/2)))**(1\/31) assuming z is positive.\nAnswer: z**(1079\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 - 3*u + 27. Let k(o) = 6*o**2 + 4*o - 40. Let i(x) = -5*k(x) - 8*s(x). Suppose i(q) = 0. Calculate q.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*z + 56107, -4 = -3*l + 5. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3255274 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j - 182. Let r be a(11). Let p = 107 + r. What is the remainder when p is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3405 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 684450*a**4 - 1373580*a**3 + 693818*a**2 - 4696*a + 8.\nAnswer: 2*(a - 1)**2*(585*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*a + 6*j - 14, -j = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 29*q**2 + 77*q + 28. Let a be g(26). Suppose -4*j - 5*c = -315, 4*c + 324 = 2*j + a*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Suppose 0 = -d*n - 3 + 33. Let k = 5 + n. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-7) + (-2)\/(-7). Find the second derivative of 5*k + o*k + 13*k**2 - 3*k + 6*k wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2247 + -34178586\nAnswer: -34176339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -53.38266.\nAnswer: -53.37266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 - 1 = 0. Let s(v) = -2*v - 2. Determine s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 + 2)) + -3*(-5425)\/(-4092).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12914.17 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s + 0*s**3 - 3 + 2*s**3 - 3*s**3 - 8*s**2 + 0*s**3. Let a be v(-7). Solve a*i + 9 + 14 = -5*x, -5*i - 2*x - 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*k - 126 = 318 + 964. Let z be 426\/2 + (-2)\/2. Suppose -3*l - 5*v + 518 = 0, -32 = l - 2*v - z. What is the greatest common divisor of k and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1076*s**2 - 2690*s - 9415. Let g(u) = u**2 + 2*u + 7. Determine 1345*g(b) + x(b).\nAnswer: 269*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 + 4 = 0. Does 8 divide 2\/(-2) - q - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 737 and 402.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16.5*0.3\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 2. Let g = z + 11. Let q be -1*1 - (-4)\/g. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9816 (base 10) to base 12.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 61306?\nAnswer: 61278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-28)*(j**5*j)\/((j\/j**10)\/j) assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11891 = -8*k + 9*k, 2*k = -10. List the prime factors of s.\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2. Let d(c) = -975*c. Give d(m(j)).\nAnswer: 975*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1900 and 85095?\nAnswer: 32336100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47368, 47369, 47380, 47407, 47456, 47533, 47644?\nAnswer: 47795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2 + 1137576*n + 4550272 = 0.\nAnswer: -568784, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2. Let s(p) = -p + 3. Let l(h) = -3*c(h) - 2*s(h). Let g(n) = -45*n + 6. Let z(u) = -588*u + 81. Let m(o) = -27*g(o) + 2*z(o). What is l(m(v))?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:23 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-40) - (-24)\/120?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 4*z**2 + 10*z + 5. Suppose 138 + 70 = 26*d. Is y(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 47. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l**2 - 5 + 12*l**2 + 0 - l**3 + 0*l**3 - 14*l. What is the tens digit of k(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7117 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*p - 1. Suppose 0 = 7*y - p*y. List the prime factors of 39 + ((-2)\/(-2) - y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*r - 42*r**2 + 82*r)*(1 - 1 + 6*r) + (6*r + 4 - 4)*(-r**2 - 3*r**2 + 2*r**2).\nAnswer: -264*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 23*t**2 - 34*t - 33. Calculate y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*h + 43 - 3 = 0, 0 = 5*d - 4*h - 35. Suppose -k - d = -5. Suppose k*p + 100000 = 3*p. What is p rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (1 - 17) - -7) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3241*u**2 + 42*u + 11. Let s(w) = -6481*w**2 + 98*w + 25. Determine -7*m(p) + 3*s(p).\nAnswer: 3244*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6475 is divided by 3235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 5 + 2 - -2. Let x(q) = 0*q + 7*q + 1 + 9*q - 17*q. Give x(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4\/5 - 8*y**3 - 92*y**2\/5 - 56*y\/5.\nAnswer: -4*y*(y + 1)*(y + 2)*(y + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 924 - 2*u**3 - 85*u**2 - 933 + 1859 + 3*u**4 in the form h*u**2 + y*u**4 + x + w*u**3 + l*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.1 - 39. Which is bigger: -2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 1.6. Let o = -3.8 - -4. Which is the closest to q? (a) o (b) 3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 11:09 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6524*s**3 - 2 - 2*s**2 - 6815*s**3 + 2*s**2 + 3*s.\nAnswer: -291*s**3 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.674737ng in micrograms?\nAnswer: 0.005674737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 5*p - 10 = 0, 3*p - 13 = -5*b - 31 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by 264.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3044 - 880 = 4*b, 0 = 2*b - i - 1079. What is the smallest common multiple of b and 630?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**2 + 0*q - 1\/60*q**5 + 0 + 0*q**3 + 0*q**4. Let b(u) = 2*u**2. What is b(f(r))?\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 482, 723, 968, 1217?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0335 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*d - 93, -4*w - 4*d = -114 - 42. Let m be (-14)\/(-4)*w\/(-98). Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18623145.\nAnswer: 3, 5, 521, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -45*y**3 - 24*y**2 + 21*y. Let h(q) = -22*q**3 - 12*q**2 + 10*q. Let t(p) = -5*h(p) + 2*o(p). Find u such that t(u) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222101112 (base 3) to base 11\nAnswer: 27273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808*q - 872*q = -25659 - 14085. What is the highest common divisor of q and 759?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*f + 5*f. Let q = f - -3. What is the units digit of (-1 + q)\/(-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/2397, 5, -3, -13?\nAnswer: -2\/2397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0*h**2 + 0 - 1\/3*h**3 - h. Let q(n) = 128 + 2*n - 128. Determine q(x(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**3 - s**2 + 2*s + 3. Let l(t) = 9*t**3 - t**2 + 4*t + 5. What is 3*l(n) - 5*o(n)?\nAnswer: 2*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*f - 174*f = 42 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241163 = -17953*l + 171756 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) -0.1 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**31)**32)**(3\/31) assuming n is positive.\nAnswer: n**(3072\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 7\/5, -2.1, 20\/7, -1, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 33. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let o(i) = -16644*i**2 - 2*i - 1. Determine o(s(g)).\nAnswer: -66576*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 1672*l + 2446136.\nAnswer: 2*(l + 2926)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(24\/(-95)) + 1 + -1 and -111\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:39 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affeatttofeffeo. Give prob of sequence tte.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 602*g - 606*g - 623*g + 1831*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/294)\/((-47)\/(-1175))?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 335 and 20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1.3, -1\/3, -0.5, 0.29?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 9*t = -42 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 17610424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 916 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 11:09 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3841157 divided by 39?\nAnswer: 3841157\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 2*a**3 + 30 - 65 + 12*a**2 + 38 + a to c*a**2 + u + p*a + w*a**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (121 - 131)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -29*l**4\/12 - 5*l**3\/2 - 76*l**2 - 2*l. Is z(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23032608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4\/3 + 95*t**3\/3 + 355*t**2\/3 - 455*t\/3.\nAnswer: 5*t*(t - 1)*(t + 7)*(t + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214567080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 159*u**2 - 883*u - 3. Give a(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*d)*(32*d + 138 - 138) + (-3*d**2 + 5*d**2 + 0*d**2)*(-2 - 2 + 3).\nAnswer: 94*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292428, 1169785, 2632048, 4679217, 7311292, 10528273, 14330160?\nAnswer: 18716953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 2651 = -283. Solve -v*n + 18 = -43*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k + 57392 = 43*k - 4*r, -4*k + 76471 = 5*r. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/8 + 51*g**3\/4 + 1077*g**2\/8 + 1749*g\/4 + 315 = 0.\nAnswer: -15, -14, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393ac (base 14) to base 3.\nAnswer: 21010222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99245.61 decades in years?\nAnswer: 992456.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-5 + 3) - -1. Suppose 6*o = f*o + 104. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:58 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6001\/1164 - 7\/97. What is the common denominator of 49\/8 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 + 11*p\/2 + 4\/3 = 0 for p.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 + 3)*(2*y + 0*y + 2*y)*(-5*y + 2*y - 3*y) as w*y**2 + k*y + c and give w.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71233 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -640a (base 12) in base 15?\nAnswer: -33a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (4 - 7) + 417. Let n = 282 + i. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 53*w**2 + 5*w - 5. Let k(b) = 80*b**2 + 8*b - 8. Let t = 842 + -837. Calculate t*k(r) - 8*d(r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2154 - 2056. What is the lowest common multiple of n and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187563449 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/84645 and 56\/4275?\nAnswer: 423225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (403 - 1218*l - 403 - 519*l + 21217*l)*(-1 - 2 + 1)*(2 - 2 + 1).\nAnswer: -38960*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 3*x**2 + 64*x - 4. Let z be m(-5). Factor -3\/4*g**2 + z + g - 1\/4*g**4 - g**3.\nAnswer: -(g - 1)*(g + 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*c + 6, -8 = -5*c + 27 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 22*m**2 + 3*m - 1. Let w(o) = o**2 - 13*o + 9. Let f be w(12). Let t be x(f). Let a = -113 + t. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(20111\/(-338))*((-2)\/(-12))\/(7\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let z be -2*(15\/o + 0). Suppose 5*j = -13 - 12, -3*h + 5*j = -31. Solve 0 = h*k - 2*y + 4*y, z*k = -2*y - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*z - 5493 = 17 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 158692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/10 - 35033*s**2\/10 - 29555008*s + 19932888030 = 0. What is s?\nAnswer: -17830, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340 - 199. Let j be 91\/3*(6 + -3). Suppose 8*k = i + j. Calculate the lowest common multiple of 6 and k.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/449735 and 5\/979693?\nAnswer: 181243205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/6 + 26741*p\/3 + 1446201\/2 = 0.\nAnswer: -81, 53563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 77*l + 5174. Determine a(-80).\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 10197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/(4\/(-10)). Suppose b*h - 76 = -2*h. What is the greatest common factor of h and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88711374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -1.1. Let x = 250 + -250.4. Let z = x + k. Which is the third biggest value? (a) -0.1 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61060403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/(-8) + (-87)\/(-116))*178. Let k = y + 446. What is the greatest common divisor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2. Let g(h) = 12*h**2 - 8*h - 12. Let r(m) = -8*f(m) - g(m). Determine x so that r(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2267810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1320\/(-6820))\/(817\/(-1333))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3357794 - -857794. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197 a factor of 70600595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/55)*(((f**(-5\/3)\/f)\/f)\/f)\/f*f**12*f*f**12 assuming f is positive.\nAnswer: f**(3196\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = 10. Let m(x) = -6*x**3 + 3*x**2 - 4*x. Let d(n) = 31*n**2 - 19*n**2 + 9*n - 19*n**2 + 13*n**3. What is u*d(f) - 9*m(f)?\nAnswer: 2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -n - 4, -4*d + 8 = -2*d - 4*n. Suppose 3*y - 5*v + 3*v = -6, d*v = 5*y + 12. Solve -4*f + y*m = -m, f = 3*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(-5*o + 3*o + 4*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 + 3*j - 1. What is r(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118301 divided by -118301\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 120*n + 1. Let c(u) = -2*u. What is 6*c(b) + h(b)?\nAnswer: 108*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/9))\/(u**(-2\/23)*u*u*u)*(u**4*u)**(-1\/27) assuming u is positive.\nAnswer: u**(-1441\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, -11, -236.\nAnswer: -236, -11, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/(-48))\/((-14)\/(-56)))\/((-2)\/4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -26. What is the remainder when 6\/4*(-28)\/(-2) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594316779.\nAnswer: 11, 144937889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 118*t**2 - 153*t - 38.\nAnswer: -(t + 1)*(t + 38)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vggvgcggvgccvgcgg. What is prob of picking 3 g?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6814737 + -1.5?\nAnswer: -0.8185263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-80750)\/119)\/(-19))\/((-768)\/2688).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.33 less than or equal to 0.9005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -3 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose 2*n - 13 = l, 0 = -n - 3*l - 7 - u. Suppose 0*t = n*t - 96. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 73, 104, 129, 148?\n\"Answer: -3*w**2 + 46*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 276\/66 - (15 - 18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-72))\/((-2)\/(-6)). Let i = -27 + 41. Let m = -19 + i. What is the nearest to 0.1 in m, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22231 (base 5) to base 7\nAnswer: -4365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1803517*m + 2345335 wrt m.\nAnswer: 1803517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*l - 2. Let u = l - -22. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 38*z + 149. Is r(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536160 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 + 22*n**3\/3 - 70*n**2 + 200*n - 6. Factor p(o).\nAnswer: -(o - 10)**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1878 and -161\/18780.\nAnswer: 18780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + h**4 + h**4 + (13*h**2 - 14*h**2 - 14*h + 5*h)*(3*h**2 + 6*h - 6*h).\nAnswer: -4*h**4 - 27*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 805 = -7*q. Let s = q - -85. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.075609 and -5?\nAnswer: 10.378045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:49 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 26. Let a = -40090148 - -40090146.99999996. Let d = s - a. What is d rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3742\/(-6) + 266\/(-114). Let k = -3143\/5 - x. What is the nearest to 1\/2 in k, -4\/7, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:58 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1226 and -0.89.\nAnswer: 1091.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsnkjnkjjj. Give prob of sequence nj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (5 + (-53 - -20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -459, -458, -457, -456, -455, -454?\n\"Answer: n - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162*u + 73566 + 58714 = -2548*u - 1904*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 837648 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**3\/2 - 1195*g**2 + 11845*g\/2 - 4730 = 0.\nAnswer: 1, 4, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2074\nAnswer: 414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 12*b**2 - 10*b - 9. Let m be u(11). Suppose m*n - 80 = 160. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 33901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -197, 3, -6 in decreasing order.\nAnswer: 5, 3, -6, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -9.5. Let g = f - -8.49943. What is g rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374491945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**3\/3 - s**2 - s - 6. Let h be n(-1). Find the second derivative of 5*r + r**h - 36*r**2 + 36*r**2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4 + 3002\/632\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 2*w - 120 - 30*w**2 - 2*w + 17.\nAnswer: -30*w**2 - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1028, 0.06, 2, 0.3 in increasing order.\nAnswer: -1028, 0.06, 1\/4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331.775mg to micrograms.\nAnswer: 1331775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a decade?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-100) - (-6)\/5*2\/4\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93106 (base 13) in base 12?\nAnswer: -108807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1740 and 6060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:43 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136516 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.88 - -1.23. What is the second smallest value in v, -4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321 - 330. Let w be 1\/(-3)*v\/6. Let f = -2.3 + -0.7. Which is the third biggest value? (a) w (b) f (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*o**3 + 52*o**3 - 101*o**3 - o + 133*o**2 as u + p*o**2 + q*o**3 + r*o and give p.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or 2\/5?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213 + 216)\/(6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3 - 3*k**2\/2 - 6*k + 70. Factor m(l).\nAnswer: 3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1*1\/(-1)). Find the second derivative of -3*y**3 + 0*y**3 - 2*y + 5*y**3 + i*y**3 wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259306 > -259301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = -2*g + r, -86 = 5*g - 4*r. Let n be g\/(-21)*(-6)\/4. Let d(w) be the first derivative of 2*w**2 + w + 24. What is d(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 10. Give t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2914757.\nAnswer: 659, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -401, 3, -1022, 5 in increasing order.\nAnswer: -1022, -401, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/(v**(-6\/5)\/v))\/(v*v*v**(1\/13)*v\/v**(3\/4)) assuming v is positive.\nAnswer: v**(-817\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h. Suppose h = -2*v + 35 + 31. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 1, d: 1, s: 1, v: 7}. Give prob of picking 1 d and 1 b.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 9*i + 2*r + 29, -4*r = 4*i + 32. Sort 5, 2, i in descending order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/72)\/((-10)\/(-9))*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 63 (b) 1 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 24 = 12*g. Solve -m - 4 = -g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 108 = -7*p. Sort p, -2, 5 in decreasing order.\nAnswer: 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2844 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - 0.0777726695.\nAnswer: 0.7222273305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022632 bigger than 2045261\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/441048 and -131\/414?\nAnswer: 1323144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5\/4 + 39*v**4\/8 + 37*v**3\/4 - 93*v**2\/8 - 5*v\/4 = 0.\nAnswer: -2, -1\/10, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1715*p**3 + 4*p - 5753. Let o(n) = -6854*n**3 - n**2 + 18*n - 23011. Let w(v) = 13*h(v) - 3*o(v). Differentiate w(t) wrt t.\nAnswer: -5199*t**2 + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101010101010111?\nAnswer: 101010101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17.41, -4\/3, -0.3, -0.5, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 441379, 441332, 441285, 441238?\n\"Answer: -47*u + 441426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*d**4 + 79531*d**3 - d - 42045783 wrt d.\nAnswer: 252*d**3 + 238593*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 16*x**2 + 22*x + 11. Let i be f(6). Sort i, -4\/7, 4 in decreasing order.\nAnswer: 4, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202002 + -20112?\nAnswer: -222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -30668650, -61337300, -92005950?\n\"Answer: -30668650*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 160, 318, 476?\n\"Answer: 158*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3, -15*x - 10*x - 8*k + 0*k = -28*x + 24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -2, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489830 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(14)\/sqrt(2) + sqrt(7) + sqrt(567) + 1 - sqrt(28)\/(sqrt(20)\/sqrt(5))*-3))**2.\nAnswer: 162*sqrt(7) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148339314?\nAnswer: 2, 8761, 65537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34266 + -23?\nAnswer: -34322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12.6*0.12619\nAnswer: 1.589994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2116671, 2116661, 2116651, 2116641?\n\"Answer: -10*k + 2116681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = -4*g + 2, -4 = -2*g. Let s be (-6)\/30*-17 - (-3)\/m. List the prime factors of (-956)\/(-10) + ((-68)\/(-20) - s).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*b - 46*b + 33*b)*(-b**2 + 0*b**2 + 0*b**2 - b**3) to h*b + m*b**4 + k*b**2 + u*b**3 + j and give u.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -4. Suppose 0 = 5*t - 3*o + 4*o + 23, t - 5*o = a. What is the tens digit of -5 - t - 0 - -57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 25 + 23 = 0. Let s be -14*4\/r*2. Let o(y) = -6*y**3 - y**2 + 5*y + 5. Let l be o(-1). Sort 4, l, s in decreasing order.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00611759 to 5 decimal places.\nAnswer: 0.00612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.66 - -28646.9?\nAnswer: 29499.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 + 47 = 0. Suppose 0 = -3*k + 2*f + 6, 5*k + 2*f - 5 + 11 = 0. Suppose -r - 10 = -c + 2*r, k = -2*c + r + m. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -4*d**6\/15 - 7*d**2\/2 + 7*d. Differentiate i(a) with respect to a.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2747 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -2*d**3\/3 - 13*d**2\/2 + d. Let y be s(-9). Suppose 3*k = p - 6*p, -p = -4*k - y. Solve 0*f + p = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((46*k - 22*k - 20*k)*(-2 + 2 + 1) + (2*k - 6*k + 3*k)*(-6 + 3 + 2) + k + 2 - 2)*(-3*k + 2*k + 0*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172814, -345314, -517814, -690314, -862814?\nAnswer: -1035314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*c**5 - 2*c**4 - c**3 + 8865*c - 12 wrt c?\nAnswer: -2640*c**3 - 24*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154 times -0.2\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50193 + 52612 - 87*k**2 - 205*k**2 wrt k.\nAnswer: -584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iioi. Give prob of sequence ioi.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -20. Calculate the common denominator of -26 and 0 - (-2)\/z*-118.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and -10.9?\nAnswer: 3.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/14)\/((-7)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*u - 44*u - 2 + 0)*(191*u**2 - 769*u**2 + 372*u**2) in the form t + d*u**2 + g*u**3 + b*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(392) - sqrt(392)))\/sqrt(8))\/(sqrt(175) + (sqrt(175) + sqrt(175) + (sqrt(175) - -1*sqrt(175)*6) - sqrt(175))).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-665*3\/81)\/(2\/(-4)). Which is smaller: v or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Let s(z) = 4*z**2 + 3*z - 2. Let w(i) = 11*i**2 + 9*i - 6. Let k(d) = -8*s(d) + 3*w(d). Determine k(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18833.6, -0.1, 3\/5.\nAnswer: -18833.6, -0.1, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/6720 - s**6\/720 - 17*s**5\/6 + 7*s**2 - 12. Let o(f) be the third derivative of r(f). What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 3. Suppose 4 = m - 2*m. Let v be -3 + 2 + b\/m. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**2*v - 69550*t**2 + 538*t*v**2 - 16*v**2 with respect to v.\nAnswer: t**2 + 1076*t*v - 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*o - 44*o + 354*o + 440*o + 11*o.\nAnswer: 1476*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**7\/1680 + d**6\/240 + d**5\/10 - d**4 + d**3\/6 - 3*d + 2. Let i(t) be the third derivative of q(t). Factor i(c).\nAnswer: -3*(c - 4)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -456*d**5 - d**3*k**3 + d*k**2 + d*k - 802*k**3 - k**2 wrt d?\nAnswer: -9120*d**3 - 6*d*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/3)\/(15\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let v(f) be the first derivative of -f**2\/2 - 5*f + 5. Let o(c) = -1. Let h(l) = 30*o(l) - 6*v(l). Determine h(p(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7\/s**(-1))\/((s**(1\/7)*s)\/s*s\/s**(1\/3)))**(1\/68) assuming s is positive.\nAnswer: s**(151\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 4, s: 6}. What is prob of picking 1 s and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-50))\/(1\/10*2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21*d**2 - 3*d + 3. Let o be t(-9). Suppose -2*y + 1166 = -4*h, 3*h - o = -0*y - 3*y. Suppose 772 = 4*r + 4*c, -r + y = 2*r - 3*c. Does 43 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1671282195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29a8 (base 15) to base 5.\nAnswer: 241213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120018*w**4 + 44487*w?\nAnswer: 1440216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70635 times -22?\nAnswer: 1553970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 3. Let g be b(4). Let s = 0.8 + 5.2. Let k = s - 4. Which is greater: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w**3 - 2*w + 1. Is y(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27497266024)\/(-3804) - -3) + -3. Let c = 7228494 - w. Let y = c - -3\/317. Find the common denominator of -34\/33 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1461305\/131100 + 8\/(-60).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4928 = -0*j + 2*m, 2*j = -5*m + 4963. Suppose -1050 = -9*b + j. List the prime factors of b.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*l**2 + 31*l + l**3 - 3*l**3 - 32*l + 4 + 110*l**4 + 30*l**2 in the form s*l**2 + f*l**3 + a*l + d*l**4 + c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3734649 divided by 261\nAnswer: -14309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t. Let l(f) = -5*f**2 + 4*f - 1. Let d(o) = -l(o) + 4*n(o). Let h(m) = m**2 - m - 31. Let c be h(6). Let z be d(c). Solve 5*k + 17 = z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 372.3 and 24.\nAnswer: 8935.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 936.3609 millilitres in litres?\nAnswer: 0.9363609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - l**4\/4 - l**3\/2 - 2*l**2. Let y = 3 + -11. Let r be 36\/(-16)*y\/(-3). Calculate g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177 and 76641?\nAnswer: 76641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1004970 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let r(d) = d + 11. Let t be r(-11). Find the first derivative of 1 - 4*z + t + g*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9234498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950896.\nAnswer: 2, 121931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1397760 and 103\/258.\nAnswer: 60103680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9402 divided by 3134\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10106*z + 3145*z - 789*z = 647*z - 1205130 for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2, t: 3, k: 5, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5. Suppose -2*f = -3*t - 3, u = -5*f - 2*t - t + 60. Solve 0 = -6*i + 3*i + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/1 + 23 + -21)\/((-8)\/(-2)). What is the smallest value in 1, z, -4, 3, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 7:23 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -342 + 346. Suppose u*w = l + 330108, -61*l = -62*l + w - 330102. What is l rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 28a904?\nAnswer: -28a905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1523 + 21?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*c + 115, c - 87 - 143 = -2*l. Differentiate -115*u - 15*u**2 + l*u + 15 wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, v: 3, q: 3, e: 3}. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x. Suppose 4 = -2*s + s + 3*m, -3*m = 3*s + 48. Let p(i) = -15*i. What is s*z(t) + 6*p(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 378?\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.7 + 13. Let m = t + -4.3. Let b = m + 5. What is the nearest to b in 4, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1408\/55 + 2\/5. Let z = -15 + f. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, -2, 1\/11 in descending order.\nAnswer: 3, 1\/4, 1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 + 20*t**2 - 6*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179e1 (base 15) to base 11.\nAnswer: -52513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y - 237 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -3. Suppose 8*y - 4*y = -24. Let g be ((-12)\/2)\/(y\/4). Solve 5*z + g*x = b, 3*x - 5 = -5*z - 0*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 1:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 - 6. Let u = i - 0.3. Let c = u - 0.6. What is the second biggest value in c, -1, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -919 + 929. Solve -2*l - 4 = -s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.061, 137, 4, 0.2, -0.42, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.4 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 0 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 5*w**2 + 5*w - 10. Let f be ((-3)\/(-6))\/(2\/(-28)). Is t(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)*6*-1)\/((sqrt(11) + sqrt(176)*2)*6).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301496025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.2, 2, -0.4 in descending order.\nAnswer: 11.2, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20989.\nAnswer: 139, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f + 6. Let y(i) = -i**2 + 7*i + 13. Let t be y(9). Let l be u(t). Suppose 5*b = x - 10, 2*b = -3*x + 5*b + l. Solve x = -3*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*c = -5, -4*k - 3*c - 3 - 36 = 0. Let o(u) = u**2 + 3*u + 9. Does 9 divide o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42102984 divided by 3\nAnswer: 14034328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-15)\/(-8))*((-10)\/5)\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 4*b + 3. Let h be q(-4). Let j be (h\/(-6))\/(1\/(-10)). Solve j*r = 4*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -249. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 + 2*k**3 + 736*k**2 + k - 513?\nAnswer: -24*k**2 + 12*k + 1472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 2070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(288)*-2 + 5 + sqrt(288) + 1*sqrt(288) + -3)*2)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - 54. Suppose -64*f + 69 = -w*f. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1010101000001001111111101?\nAnswer: -1010101000001001111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1250 - 41368?\nAnswer: -40118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3405\/4 + 51067\/60. Suppose -s = -3*y, -s + 5*y - 5 = -3. Which is the third smallest value? (a) s (b) -4 (c) 36 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2493487659 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*0.5.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(1 - 2 - 2). Suppose x*o + 1 = k - 3, -4*o + 4*k - 8 = 0. What is the tens digit of (-4)\/(o\/(-28)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ba (base 15) in base 2?\nAnswer: 1001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 9*z - 57. Let h be a(7). Let x = h - 99. Solve x*j - l = 15, -j + 3*l + 5 = -6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 + 653*t**4 - 5*t**3 + 7*t**2 + 202*t wrt t.\nAnswer: 120*t**3 + 15672*t - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-5)\/(-10)*(-28)\/56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9195 + -1.97. Let s = 0.18 - 0.23. Let o = y - s. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 5*r**4\/24 + 169*r**2. Let b(g) be the first derivative of -3*g**2 - g - 38. Give 3*b(x) + 4*n(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 31. Suppose 2*w = g - 11. What is the units digit of 12\/w - (-5)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-52)\/(-8)))\/(2\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:30 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 214*x**3 + 4577*x**2 - 11*x - 11. Let s(k) = 117*k**3 + 2288*k**2 - 6*k - 6. What is 6*f(z) - 11*s(z)?\nAnswer: -3*z**3 + 2294*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let r be (-2 - -3) + 2020\/5. Let q(p) = -r - 25*p + 405. What is q(i(z))?\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 353874903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*z - 7*z - 18423. List the prime factors of z.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -164331726, -164331727, -164331728?\n\"Answer: -b - 164331725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -404*m. Let x(a) = -a**3 + 19*a**2 - 58*a + 30. Let w be x(15). Let t(v) = 2*v + w - 60 - v. Calculate z(t(p)).\nAnswer: -404*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1270 and 131672584.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/94, 0, -1.51, -3\/4?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 32929954.727?\nAnswer: 32929950.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-16))\/((-6)\/(-44)). Suppose 3*s = -7 - 2. Let w be ((-1)\/s)\/(d\/99). Solve 4 = u + w*k, -3*k - 1 + 3 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaggbufabb. Give prob of picking 1 g and 1 f.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29\/12, 0, -0.5, 1\/5, 0.5, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l - 63. Determine m(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -48 (b) -3 (c) -0.4 (d) -72544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2941 - 1704. Suppose 4*i + 2*z - 1071 = v, 0 = -2*i - 2*z + 1156. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*q - 214 = 0, 5*q - 107 = -r + q. Suppose 2*n + 3*p = r, p - 41 = -2*n + 56. Let j = 81 + -57. What is the remainder when n is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) 2 (b) 19 (c) -1 (d) 0.4 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387395907.\nAnswer: 3, 89, 773, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p. Let c be ((-64)\/(-10) - 5) + (-2)\/5. Give u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:36 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10968 and 1551972.\nAnswer: 3103944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 + 8*a**3 + 25*a**2\/2 - 3*a - 27. Let d(u) be the first derivative of s(u). Is d(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*p**4 + 11*p**3 + 38*p**2 + 0 + 36*p = 0. What is p?\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2062549 and 3382.037?\nAnswer: 2065931.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c**3 + 3*c**2 - c. Let m be f(1). What are the prime factors of 57\/m*44\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*h + 651*h = 2*p - 18, -2*h = 5*p + 2*h - h - 38 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 170645.54 - 8422\nAnswer: 162223.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4221 and 15\/469.\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 11. Solve -l*a - 2*h = -a - 5, 3*h = a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1441 - -1464. What is the greatest common divisor of n and 2507?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**7\/7 + 5*q**4\/12 - 10*q. What is the third derivative of f(g) wrt g?\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 14*l + 22. Solve q + 0*s = s - l, -5*q - 5*s - 25 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 19 + m)*(m + 3 - 3) in the form n*m**2 + o*m + i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4054ed (base 15) to base 4.\nAnswer: 23221332022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6334 - -51?\nAnswer: -6253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:16 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296978053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0 + 0*m**2 + 0*m**3 - 9*m + 2\/3*m**4 + 0*m**5 - 19\/42*m**7 + 0*m**6. Find the third derivative of a(r) wrt r.\nAnswer: -1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8\/7)*o\/o**(1\/7)*(o*o\/(((o\/(o**(-7\/5)\/o))\/o)\/o*o)*o*o*o)\/(o**(-6)\/o) assuming o is positive.\nAnswer: o**(326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -19. Let o be (6\/5)\/(3\/b). Suppose -4 = -4*j, -3*j + 2*j = k - 1. Solve k = 4*p - o - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - -126?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 493 and 66497.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20a13 - 5?\nAnswer: -20a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*n - 72*n - 7*n)*(4*n - n - n - 2)*(13 + 16 - 7) - 4*n**2 - 3*n**2 + 6*n**2.\nAnswer: -4665*n**2 + 4664*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 5*a - 3*a)*(4 + 1 - 3) + 5 - 5 - 2*a + (-2*a - a + 2*a)*(2 + 0 - 3) + 5*a - 4*a - 3*a + 5 - 5*a - 5 - 2*a + 4*a - 3*a to o + v*a and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*h + 267 = -255 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117\/6*8\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54, -1, 0.0586?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408\/5 + -82. Let n = 12 + -11. What is the nearest to n in c, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -5, -2\/1005, 4519?\nAnswer: -2\/1005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1*1\/(-3)). Let d(a) = -12*a + 1. Let g be d(-3). Suppose v + 4*p + g = 5*p, 3*p = b. Round v to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1740?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2244 and ((117249\/22)\/(-57))\/(3\/(-96))?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*q = -3, 32278*r - 32280*r = 7*q + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 10 - 10)*(4 - 3 - 2) + 0*j - 4*j + 2*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, y: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 r when four letters picked without replacement from {i: 4, a: 6, r: 4, m: 1, p: 2}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:33 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/19 - -681\/38. Let f = -19 + x. Let p(h) = h**2 + 2*h + 1. Let u be p(-2). What is the closest to u in 4, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 5325.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-3)*810\/(4995\/37).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42165*a + 1256 wrt a.\nAnswer: -42165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17430, 31422, 45426, 59448, 73494, 87570, 101682, 115836?\nAnswer: 130038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 703125823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 302483507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -63, -3, -0.06, -44 in increasing order.\nAnswer: -63, -44, -3, -0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101101001 - 1000110111100?\nAnswer: -1110100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661109 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-22))\/((120\/22)\/(-30))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 12*b**2 - 7*b + 2. Let c(y) = 3*y**3 + 14*y**2 + 9*y - 3. What is 4*c(o) + 5*s(o)?\nAnswer: -3*o**3 - 4*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -19. What is the third biggest value in 3\/2, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 130*h + 22*h + 4 + 113*h - 45*h. Does 56 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84896846389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and 2432?\nAnswer: 352640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10083867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 114987430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/(5\/(-15)). Suppose 0 = s + 2, 2*h + 2*s = -i*s - 8. Suppose -22 = -5*k + 3*x, -3*k + 9*x - 4*x + 10 = 0. Sort k, h, -1 in increasing order.\nAnswer: -1, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*q = -121*q - 152. Calculate the remainder when (-372)\/(-60)*5*1 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*6\/(-90)*-15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(10*189\/(-4590))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwlwwwlttwwwlwwtw. What is prob of sequence tlt?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002836107232 rounded to seven decimal places?\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(45*(-144)\/(-3240)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175\/234 + -1\/18. Are 1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*r**2 - 11*g**2*r - g**2 - 2*r**2 - 43 wrt g?\nAnswer: 4*g*r**2 - 22*g*r - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -2. Let v = -1.75535 - 2.24465. Sort v, f, 0.3.\nAnswer: v, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 1\/5, 1, -0.2, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -160. Let d = 620 - 570. What is the greatest common factor of d and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3721216, -3721209, -3721202, -3721195, -3721188?\n\"Answer: 7*v - 3721223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjjjpdpjd. What is prob of sequence djjp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atxxxaaaxtxxa. Give prob of sequence axx.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - s - 2. Let g(t) = 2*t**2 + 14*t - 1. Let n be g(-7). Let l be b(n). Solve 0 = l*o - 20, j - 3*o + 15 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*f - 4*a + 46, -4*f = a - 80. Solve 5*q - 4*x + 31 = 0, q - 4*q = -3*x + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -2*y**3\/3 - 17*y**2\/2 - 33*y + 29. Differentiate p(u) wrt u.\nAnswer: -4*u - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 7*x - 296. What is g(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhvr when four letters picked without replacement from hmmhvr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129814.\nAnswer: 2, 7, 80701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 59. Give w(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:32 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/5 (b) -54\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 872*k**2 + 9666*k + 41513. Determine y(883).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (400\/125)\/((-4)\/10). What is the units digit of 2*((-19295)\/(-150) - g\/(-60))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1138, 4502, 10094, 17908, 27938, 40178, 54622, 71264?\nAnswer: 90098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*t + 8 + 1, f + 13 = 4*t. Let y = -12 + 11.77. Let n = y + 0.29. Which is the smallest value? (a) n (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981398466?\nAnswer: 2, 3, 4219, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**(2\/9)*o*o)**(-3\/19)*o\/(o**(-7)*o)*o\/(o**8\/o)*o)**(-11\/4) assuming o is positive.\nAnswer: o**(-737\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 266177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7993*v = -7496*v - 9940 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29374 times -10.2\nAnswer: -299614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 1 + (99 - 97)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -242541*k - 242547. What is o(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/3)*c*c**(-10)*c**(-1\/8)*c**(-2\/3) assuming c is positive.\nAnswer: c**(-203\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 3*p - 61 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 411, 633, 877, 1149, 1455?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 758.15 + -763.15. Let m = 0 - 2. Sort m, 5, h in decreasing order.\nAnswer: 5, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4606149?\nAnswer: 3, 389, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Suppose -v + 9 = 5*w, u*v + 0*w = 2*w + 18. Suppose -t + 3*t - 26 = 3*c, v*c - 22 = -3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/147767 and -93\/22.\nAnswer: 3250874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*(-41)\/(2255\/12).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, c: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 10 - 9)*((3 - 1 - 3)*(2*o - 2*o - o) - 43*o - 12*o + 22*o).\nAnswer: -128*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122\/105 - 16\/21. Let v = 34\/217 + 4\/31. Which is the nearest to v? (a) -3\/4 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*284\/28 - (-8)\/(-28). Let q be (-28)\/35*(s\/1)\/4. Sort -1, -2, q in decreasing order.\nAnswer: -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or -145\/482?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -10*m - 154. Let l = m - -26. Let -129*u**5 - u**3 + 10*u**l + 134*u**5 + u**3 - 5*u - 10*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1.2 (c) -5 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c + 18. Let p(h) = -h + 1. Let z(b) = m(b) - 5*p(b). Let t be z(4). Suppose -u - 3 = 3*d, 3*u = u + 3*d + t. Solve -u*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/3, -1, 1.39, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*710*(-1372)\/3920?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/(p\/(p**5*p)))\/p*p)*p*p**(-5\/3)*(p**3\/p)\/(p*p\/(p\/(p**(-1\/6)*p*p*p))) assuming p is positive.\nAnswer: p**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -1053, -2949, -5769, -9513?\nAnswer: -14181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let c(l) be the second derivative of 0*l**3 + 0 + 5\/6*l**4 + 0*l**2 - 10*l. Calculate c(w(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 551, 593, 699, 899, 1223?\n\"Answer: 5*n**3 + 2*n**2 + n + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 1. Let r(q) = -7*q**3 + 11*q**2 + 2*q - 10. Let h(a) = r(a) - 6*z(a). What is the least common multiple of h(11) and 88\/33*(-15)\/(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49592384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 + d. Let u be t(0). Suppose 0*r - 3*r + 6 = u. Let y(l) = 7*l - 220. Let m be y(32). Solve -3*a = i - r*i + 9, -m*a - 3*i = 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - -6*(sqrt(931)*-2 - sqrt(931)).\nAnswer: -119*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5000)*4)\/((sqrt(640) + (sqrt(640) + (sqrt(640) - -1*sqrt(640) - sqrt(640)) - sqrt(640)) + sqrt(10) - sqrt(10))*-3).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - c25ab?\nAnswer: -c25c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20, 118, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 8. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*y = y - 36936. Calculate the greatest common factor of y and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12483114 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let g = 2 - 2. Let c(w) = g*w + 0*w + 2*w. Determine c(m(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/80 and -95\/146172.\nAnswer: 2923440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8814340?\nAnswer: 2, 5, 440717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*o - 56, 5*o - 4*r - 6594 = -6554 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 4*v - 1. Suppose -4*d = 4*s, -5 + 1 = -4*s - 3*d. Suppose -j + 3 = 2*x + 2*j, s*j - 6 = -2*x. Calculate u(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7896.42cm?\nAnswer: 78964.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqvf. What is prob of sequence fqqv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162 + -108. Suppose 3*c + 48 = m. Solve d + 2*g - 4 = 0, 3*g - 14 + c = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*i + 33, 134*k + 5*i = 131*k - 79 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) 2 (d) -275992 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -0*b - 2*j, 4*j = 2*b + 2. Suppose -740 = -b*m - m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -16. Let q be 5*((-12)\/(-5) - 2). Suppose 5*z - 24 = 2*z + 2*b, 5*z - 3*b - 39 = 0. Solve -f - 5 = q*a, -a + z*a = -c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/26)\/((-68)\/(-14586)*231)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -373, -20, -2724.\nAnswer: -2724, -373, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 38 = -6*o. What is the units digit of 4249\/147 - (-2)\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**2 + 1887237 - 1887237 + 21*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -198 and 29573?\nAnswer: -5855454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-2))\/(-1))\/((-1309)\/238)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3385443, -3385439, -3385433, -3385425?\nAnswer: -3385415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-12))\/(15\/(-20)). Let y = 59.13 + -59. Let r be -8 + 9 - 14\/12. Which is the closest to 1? (a) x (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -73450 to the nearest 1000.\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037898 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 24*u. Let g be v(-12). Suppose g = 3*h + h + 12. Let x(l) = -169*l + 10. Is x(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*u - 42621 = 0, 6*u - 3*u + 170438 = 4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 668.7606ml?\nAnswer: 0.6687606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4599 and 83\/18396.\nAnswer: 18396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-4))**32 assuming x is positive.\nAnswer: x**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -13, -27, -45, -67, -93, -123?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b4 (base 13) to base 9.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.3 - -9.3. Are 41 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14037933901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*m - 1. Let y(u) be the first derivative of -u**2 - 2 - 1 - 2*u**2 + 2*u**m. Let v(j) = 5*j. Determine -3*v(k) - 8*y(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1070.87 - -1064. Let d = -4.38 - w. What is d rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + 2*n)*(1 - 3 + 1) - 3*n - 1 + 1 + (-3*n + 0 + 0)*(-1 - 2 + 4).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -697\/597 + 7367\/4776. Let o = 18 + -71\/4. Factor -o - i*g - 1\/8*g**2.\nAnswer: -(g + 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143\/6 + -24. Suppose 11 = 2*r + 1. Suppose r*q + 0*q + 10 = 5*f, 5*f + 3*q = -14. Which is the smallest value? (a) i (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/5))**(-32)*y**(-7)*y**(2\/19) assuming y is positive.\nAnswer: y**(-2479\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 18.7. Let w = 73 + -77. Which is the nearest to 2\/5? (a) w (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 4*i - 3*i + 2*i**3 + i**2 + 2*i**4 as w*i**2 + q*i + v*i**3 + p + l*i**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 83*u - 1055. Let r be c(53). What is the greatest common divisor of r and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -652, -938, -1218, -1486, -1736, -1962, -2158, -2318?\n\"Answer: g**3 - 3*g**2 - 284*g - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 153*k**3 + k**2 + 5*k - 6. Let x(m) = 460*m**3 + 4*m**2 + 11*m - 17. Let g(l) = -17*s(l) + 6*x(l). What is the third derivative of g(u) wrt u?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(4*q**3 + q**4 - 63471*q**2 + 0 + 63466*q**2 - 3).\nAnswer: q**4 + 4*q**3 - 5*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + 5 + (-8 + 38 - 3)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*a - 2 = 0, 152*j - 24 = 155*j - 4*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 3)*(q**2 - 5*q**2 + 3*q**2) - 2*q**2 - 2*q**2 + q**2)*(23*q - 5*q + 3*q) in the form a*q**2 + z*q**3 + o + y*q and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**4\/15 - 1172*p**3\/15 + 68062*p**2\/5 - 9518984*p\/15 + 131933768\/15 = 0.\nAnswer: 31, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 9) to base 2\nAnswer: -100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 79419735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**8\/1680 - k**7\/420 + k**5\/60 - k**4\/24 - k**3\/3 - 1. Let i(a) be the third derivative of o(a). Factor i(y).\nAnswer: (y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.5, 3187.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*i**3 + 3\/2*i**2 + 1\/2*i - 3\/2 = 0. Calculate i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 - 819*t**2 + 158726*t + 982056 = 0?\nAnswer: -6, 332, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**40)**(1\/10)*(y**6\/(y*y\/(y*y**(-5)*y*y)))\/((y\/(y**(1\/4)\/y)*y)\/y*y*y\/(y*y\/(y*y\/(y\/(y*y*y*y\/y**(-1\/2)*y))))*y) assuming y is positive.\nAnswer: y**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 436. Let z(t) = -3*t + 1756. Calculate 9*x(d) - 2*z(d).\nAnswer: -3*d + 412","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -10 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 489*n - 698. What is the hundreds digit of a(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 3. Let d be v(8). Suppose 2*o + 5*b = 1 + 33, -b - d = -3*o. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225 greater than 3226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = m, -2*f - 5*m - 11 = -0. Suppose 28*k - f = 26*k. Is k at most as big as 8\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -704.55304 to the nearest integer.\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -15250?\nAnswer: 15311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/30 - d**4\/24 - d**2. What is the second derivative of c(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, -5, 0.9 in descending order.\nAnswer: 205, 0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598*w**2 + 2216*w wrt w.\nAnswer: 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/13? (a) 0.12 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = 3*f. Suppose -v = -0*z - z + 20, -v - f = 0. Let t(b) = -9*b - 36. Calculate the remainder when t(-10) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 3*m - 1. Let v be w(4). What is the third smallest value in v, -5, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3\/208, 0.15, 3, -2\/3, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + q - 1, -4*w + 4*q = -0 + 4. Let s = 65.3 + -70. Let v = s - -5. Which is the nearest to w? (a) 6\/5 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 17520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**8\/168 - k**5\/4 - 19*k**2\/2 + 10*k. Let z(q) be the first derivative of o(q). Find the third derivative of z(w) wrt w.\nAnswer: 600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79819 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 + 6*r**3 - r**3 - 4*r - 4*r**3. Let h(c) = c**2 - 12*c + 20. Let f be h(10). Suppose -o - 25 = -5*o - l, -3*o + 3*l = f. Determine v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**4\/6 + b**3\/6 + 3*b**2. What is the lowest common multiple of f(2) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba010 (base 14) to base 12.\nAnswer: 616aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1222827\nAnswer: 3668481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -776 + 3884\/5. What is the nearest to -1\/2 in 0.5, s, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/3 + 4*u**4 + 40*u**3 + 272*u**2\/3 + 64*u.\nAnswer: -2*u*(u - 12)*(u + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-26 + -55 - -28)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -102. What is the units digit of (-14)\/j + 88\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -307*x + 2*x**2 + 303*x - x**2 + 3. Give m(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, 5, 53, 1, 4, 6.1?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b = -41, -18*u + 24 = -15*u - 6*b. Suppose -2*t - 3*t = -4*p - 127, p + 3 = 0. Calculate the remainder when t is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888979 to the power of 1\/2, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b. Let s(l) = -664067*l. Give a(s(z)).\nAnswer: -9961005*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - s - 132 + 40 - 76 = 0, 2*j - 35 = 6*j + 5*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 40*i**2 - 40*i - 80. Suppose 4*y = 60 + 48. What is the remainder when u(-2) is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x - 2*z, -4*x - z = -29 - 4. Is 1*376 + (x - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 8*g**2 + g**2)*(5*g - 2*g - g) - g**3 + 0*g + 0*g - 5*g**3 - g**3 + 3*g**3 - 3*g**2 + 3*g**2 - 2*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312284327 divided by 1.\nAnswer: -312284327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 675 - 675 + 165*k in the form p + a*k and give a.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594923228.\nAnswer: 2, 17, 677, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1872219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 73 (c) -339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 868 divided by 217\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -16*y**2 + 10*y. Let i(v) = -34*v**2. Determine n(i(o)).\nAnswer: -18496*o**4 - 340*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b)\/b*b\/(b\/(b\/((b**(-2\/3)\/b)\/b*b))) assuming b is positive.\nAnswer: b**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 12*i + 2. Let w be p(12). Suppose 1 + w = u. Suppose 7679 = 10*t - u*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 76*p**2 - 69*p**2 + 4*p in the form t*p + c + r*p**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -396 - 801. Let j = s + -474. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + r + 26 = 0, -9*s + 6*s = 4*r - 29. Let v(c) = 3*c**3 - 2*c**2 + 6*c - 16. What is the hundreds digit of v(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -291 + b**2 - 2*b**2 + 292 + 12*b**4 to the form k*b + t + w*b**3 + m*b**2 + o*b**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 361765?\nAnswer: 1\/361765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12296085 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 3:19 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-210) - (2 + 13\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11477, -11315, -11139, -10943, -10721, -10467, -10175?\n\"Answer: b**3 + b**2 + 152*b - 11631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x**3 + 7*x**4 + 0*x**4 + 2 + 0*x**4 + 2*x - 5*x**4 in the form r + q*x**4 + f*x**2 + d*x + s*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 + 292. Factor -43*x**2 - 5*x**2 + 4*x**3 - 44 + 84*x + r*x**2 - 28.\nAnswer: 4*(x - 3)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -172*j**4 + 2*j**3 + 60573*j - 107842680?\nAnswer: -688*j**3 + 6*j**2 + 60573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1404240 + -12?\nAnswer: 1404223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 18.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 - 16767*k**4 - 98*k**3 + 107429*k**2 - 21*k wrt k?\nAnswer: -120*k**2 - 402408*k - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**2 + 2*l - 3. Let t be s(3). Let w = t + 42. Does 7 divide w\/45 + 117\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:21 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 606 and 4330?\nAnswer: 1311990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**3\/7 + 10*a**2\/7 - 44*a\/7 + 32\/7 = 0.\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47588460*t**2 + 72380047 wrt t.\nAnswer: -95176920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 12*l**2\/7 + 6*l\/7 - 20\/7.\nAnswer: 2*(l - 1)*(l + 2)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)\/f*f*(f\/f**(-2\/15))\/f*(f**(1\/10)*f)**(-3\/13))**(1\/8) assuming f is positive.\nAnswer: f**(1513\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by -195.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) + sqrt(30)\/sqrt(2) + sqrt(15))*-1)\/(sqrt(20)\/sqrt(4)*-5))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 + 219 = 2*b + 6*c, 6*c = 8*c - c - 60 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g**2\/g)\/g*g*g))\/g*g*g*g\/((g\/(g**(-16)\/g))\/g))\/((g*g\/(g\/(g\/(g**(-5\/12)\/g)*g*g*g)))\/g**(-1\/4)) assuming g is positive.\nAnswer: g**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 7*j + 2. Let b(o) = -8*o**3 + o**2 + o + 1. Let v(t) = -48*t**3 + 3*t**2 + 39*t + 15. Let g(w) = 4*b(w) - v(w). What is 2*g(f) + 11*r(f)?\nAnswer: -f**3 + 2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 43 = -1996*c + 2000*c, -4*c = w + 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 401\/405)*59*234\/18408?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -31*s + 5. Let o(p) = 443*p**2 - 820*p**2 + 375*p**2. Give i(o(j)).\nAnswer: 62*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**3 - n**3 + (4 - 3 + 0)*(-n**3 - n**3 + 0*n**3) - 4*n**3 + 4*n**3 - 2*n**3 + 2*n**3 + n**3 + 4*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Suppose n*u + k = -2*k - 9, 3*u + 5*k = -15. Let s(y) = -y**2 + 307. Is s(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = -h - 1, 3*h - 5*t - 14 = 0. Find the second derivative of -43*m**2 + 0*m**3 - 46*m**2 - m**h - 42*m + 89*m**2 - 38*m**4 wrt m.\nAnswer: -456*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + m**3 + 3*m**3 + (-2*m**2 - 3*m**2 + 3*m**2)*(0*m + 0*m + 2*m))*(-628 + 735 + 1828).\nAnswer: -1935*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 3:17 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -636.58243 and 10.9?\nAnswer: 647.48243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, o: 1, p: 5}. What is prob of sequence ypy?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 94*x - 2209.\nAnswer: -(x - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(125))*-6 + sqrt(125))**2 + ((sqrt(165)\/(sqrt(22)\/sqrt(2)))\/sqrt(3))**2.\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -60*x**2 - 5*x - 9. Let m(h) = -30*h**2 - 2*h - 4. Give -9*m(b) + 4*q(b).\nAnswer: 30*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -185\/924 and 137\/42291744.\nAnswer: 296042208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7815096 and 21?\nAnswer: 54705672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4, 2*m + 8 = 3*b + 28. Let n = 5 - b. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29748 is divided by 3606.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2996 and 2140.\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 21 = 2*b, 2*j = 4*b + 4 - 22. Let a be -1 + 5 + (-43 - -41). Put j, a, 158 in decreasing order.\nAnswer: 158, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(4 + (sqrt(3) - (4 + sqrt(6)\/sqrt(2)))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - 2. Suppose 3*m - 10 = -2*m. Let q be r(m). Suppose i - 11 = -4*t, q*t - 2*i = i + 23. Solve 5*c = 4*g - 18, 4*g + 3*c = c + t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 2*t - 13. Let s(n) = -3*n - 7. Let o be s(-4). Suppose 2*d - 14 = 3*p, 23 - 9 = 2*d - o*p. What is the tens digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-3))\/(-1*20\/10)*6\/1.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u**5 - 1\/60*u**6 + 0 + 0*u - 1\/24*u**4 + 0*u**3 - 8*u**2. Calculate r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w**3 - 7*w**2 - 11*w - 11. Let d(s) = 7*s**3 - 3*s**2 - 6*s - 5. Let n(a) = -13*d(a) + 6*g(a). List the prime factors of n(-7).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 3 (c) 604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17325 + -17318. Solve -4*h + 3 + q = 5*g, -h = -4*g - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(2 + sqrt(2205)) - -3*-1*sqrt(2205) - ((sqrt(2205)*1 + sqrt(2205) - sqrt(2205))**2*3 - (-5 + sqrt(2205) + -2 + sqrt(2205) + sqrt(2205))**2)).\nAnswer: -2142*sqrt(5) + 26534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 3, -4, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10098 + 43120 = -5*w + 4*v, 3*w + 19809 = v. Is (w + -5)*-2 - (-6 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -44*p - 303. Let a be g(-32). What is the greatest common divisor of 65 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a = 840 - 192. Suppose 5*n + 2*q = -44, -a*q - 28 = 4*n - 8*q. Is n at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -628 - -1050. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-80)\/(-522))\/((-18)\/27). Is 0 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 11*n - 680. Determine j(67).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - -44. Let i = c + -95. Suppose 372*t - 3497 = 8709 - 2534. What is the highest common factor of t and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11136733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86550019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 406849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 + 9*q**4 - 1 + 2 - 3*q**4 wrt q?\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 1. Let o be l(-2). Solve o*k + 4 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n**(-1\/2)\/n*n)))**13*((n**(-2)*n)\/n)**10*(n**(2\/5))**22\/(n**2\/n**(1\/4)) assuming n is positive.\nAnswer: n**(-129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2268, 9022, 20278, 36036, 56296?\nAnswer: 81058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 8*t**2 + 28*t + 1. Determine j(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 12397*y**3 + 12387*y**3 + y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*f + 36 = -4, 3 = 3*y + 4*f. Calculate the lowest common multiple of 1 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224112931 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + 3*o - 5. Determine x(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -244619.5 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (-3)\/12 + 0 - 2225\/(-100).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573796?\nAnswer: 2, 37, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/(-15) - 4\/30. Let w be l\/10 + (-120)\/(-50). Solve -4*m + 9 - 29 = -w*i, -30 = -5*i + 5*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-265)\/(-1484))\/(5\/6))\/((-6)\/(-8)). Which is the closest to 0? (a) r (b) 0.6 (c) -0.0514 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((3 - -1) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 - 3*q + 34. Let p(m) = -43*m**2 + 19*m - 207. Let d(r) = -19*k(r) - 3*p(r). Let w(b) = -29*b. Determine w(d(u)).\nAnswer: 116*u**2 + 725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + u - 1 - 2*u**4 - 11*u**3 + 5 - 14 + 4*u**2 - 2*u**2 as m*u**2 + y*u + z*u**3 + h*u**4 + b and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4131 - 4140. Let m(g) = -2*g**2 - 20*g - 15. Determine m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 0. Let t = -4 + o. Factor -32\/7*r**4 + 0 + 2\/7*r + 2*r**2 + 16\/7*r**t.\nAnswer: -2*r*(r - 1)*(4*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(288))**2)*3 + 2.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -3\/2, -6, -130?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:30 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/7 + 2028*y**4\/7 - 6*y**3\/7 - 6088*y**2\/7 - 4056*y\/7 = 0. What is y?\nAnswer: -1014, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -374 and -0.4.\nAnswer: 149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)\/((-2 - -3) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.49404 rounded to 1 dp?\nAnswer: 47.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 17 = 2*w, 3*z + w = -2*w - 3. Suppose -z*f + 6 + 15 = 0. Let y = 18 + -12. Calculate the lowest common multiple of y and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 13296\/7 (b) -0.5 (c) 0 (d) 79\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62619\/5 + -12495. Factor -t + 24\/5*k - 1\/5*k**2.\nAnswer: -(k - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -30, -1.1, -144 in decreasing order.\nAnswer: 3\/5, -1.1, -30, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 35, 47, 59, 71, 83?\n\"Answer: 12*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3329*v - 3392*v - 2*i = -12, -3*v = -3*i + 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 28. Suppose 25 = -2*o - 91. Let k = 90 + o. What is the remainder when k is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/12 - 29*j**3\/6 + 17*j**2\/2 + j - 884. Calculate a(22).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37661721 divided by -5979?\nAnswer: -6299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = -5*j + 8, -8 = -3*u + j. Suppose 2*m**3 - 9*m**4 - 32*m**u - 15*m - 2 + m**3 - 33*m**2 = 0. What is m?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**6\/27 - 4*v**5\/45 + 7*v**4\/9 - 16*v**3\/27 - 13*v**2\/9 + 20*v\/9 - 45. Determine g so that x(g) = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -7 - 1 - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 846 divided by 141\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 174, -429, -1272?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhg. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106436029 by -2317.\nAnswer: -45937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/6, 6.24 in ascending order.\nAnswer: -0.5, 1\/6, 6.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 40 = -4*l - 20*s, 0 = 4*l - 3*s - 61. Suppose 0 = 5*m - 5*z - 30, 3*m - 8 = -m - 4*z. What is the remainder when l is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/313113 and -37\/3393?\nAnswer: 12211407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g*g**(-9)))\/g)\/g)**(4\/5) assuming g is positive.\nAnswer: g**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6993247*r**4 + 2504593*r - 1 wrt r?\nAnswer: -83918964*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(468)*-2)*3 + ((sqrt(78) - 1*sqrt(78))*5)\/(sqrt(72)\/(sqrt(12)*-1)))**2.\nAnswer: 648*sqrt(13) + 16929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 10*y + 2*y**3 + 0*y + 18*y.\nAnswer: 2*y**3 + 37*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4183341 or 4183360?\nAnswer: 4183341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/11)*d**(3\/7) assuming d is positive.\nAnswer: d**(-9\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/440493656 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322756420?\nAnswer: 2, 5, 7, 19, 67, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 3*p + 3*p)*(-3*p - 3*p + 3*p) + (-2 + 2 - 2)*(7*p**2 - 2*p**2 - 7*p**2) to k*p**2 + q*p + n and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.8106 to one decimal place.\nAnswer: -161.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -3460, -2, 37.1, -3.\nAnswer: -3460, -3, -2, -1, -0.1, 37.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-465)\/(-4) - (-3)\/(-12). Suppose 5*k = 7*k - t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 - 13*a**2 - 3*a**2 + (a - 4 + 4)*(-2*a + 0*a - 3*a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343 + -342.981. Let l = b + -23.819. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/10 - 5*n**4\/3 - 7*n**2. What is the second derivative of f(o) wrt o?\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82780 greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.928 + -0.072. Which is the second biggest value? (a) -0.1 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 378 and 63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2952 + -1724. Suppose 0 = -5*m + 9*m - u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 3887\/117 - (-17)\/18?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88480*g**2*o + 13668*g**2 + 49*g*o wrt o?\nAnswer: -88480*g**2 + 49*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsccmmcccs. What is prob of picking 1 m and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -404, -405, -406?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 117 = -2*h - 30, h + 2*p = 47. Let c = h - 32. Solve q = -4*v - 7, -4*v - v - c = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 1, x: 1, b: 1, t: 1}. Give prob of sequence xgtr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4039\/6, -0.5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-13)\/(-68) + (-1)\/1 and (3\/(-28))\/(-9 - 8892\/(-984))?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + s - 2*s - 4. Let i = 25 - 20. Let t = 10 - i. Determine g(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40.1 + 43. Let p = c + 1.1. What is the third smallest value in -0.1, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 23*f**3 + 38*f**2 - 17*f. Let v(m) = 8*m**3 + 13*m**2 - 6*m. What is -17*v(t) + 6*w(t)?\nAnswer: 2*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004947 to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-1836)\/450 - -1*4). What is the remainder when 311 is divided by (-105)\/f + 2 + (-211)\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303038 + -108184789\/357. Let x = s - -10\/51. What is the third smallest value in x, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4*t + 52*s**2*t**2 - 5*s*t**2 - 6*s + t**2 wrt s.\nAnswer: -24*s**2*t + 104*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-15)\/o*o**(13\/5))\/(o\/(o**(5\/4)*o))**(-6))**(-4\/3) assuming o is positive.\nAnswer: o**(418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1992\/72 - 28 - (-92)\/6. Solve a*i = -2*i + 85 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.9998 centuries to decades.\nAnswer: 9869.998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7157 minus -0.5?\nAnswer: -7156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168576377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 27 + 14*z**2 + 4*z + 11*z**2 - 19*z**2 + 13*z**2.\nAnswer: 19*z**2 + 4*z + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(6\/130*(-7 - -6)*-5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*w - 20, -t + 45 = 3*t - 5*w. Suppose 3*j - 2*j = -l - t, 2*l - 3*j - 15 = 0. Let s(o) = 1 + 4*o + o**2 + l - 1. Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1582\/112 - 1\/8. Let r(x) = 3*x + 2. Let l(b) = -10*b - 5. What is k*r(p) + 4*l(p)?\nAnswer: 2*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 44543446?\nAnswer: 44543442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/120 + r**5\/10 - 5*r**4\/24 - r**3\/2 - 398*r**2. Give x(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 48*b + 256. What is d(5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:14 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60163, 120432, 180703, 240976, 301251, 361528, 421807?\n\"Answer: i**2 + 60266*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -19. Let d = 7 + h. Suppose i = -2*b - 4500004, d = -2*i - 0*i - b - 9000002. Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -254. Sort 2, l, 1, -5 in increasing order.\nAnswer: -5, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19586 less than 19586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*(v**5\/v)\/v)\/v))\/((v**(-2\/7)\/v)\/v)*v**8\/v**(-1\/9)*((v\/(v**1*v*v))\/v)\/(v*v**(3\/10))*(v**(-1))**0 assuming v is positive.\nAnswer: v**(2581\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 7:49 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 4 - 4\/11*i + 1\/22*i**4 + 0*i**3 - 3\/11*i**2. Suppose c(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2 + 2*q - 1. Let o be r(1). Let l(f) = -f**2 + 4*f - 2. Let v be l(2). Solve 2*d + v*g + o = d, 0 = -d + 3*g + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, 2410, 5 in increasing order.\nAnswer: -26, -4, 5, 2410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 24*a**2 + 6*a + 3. Let p be o(-3). Suppose -111 + p = 5*b. Suppose b*j - 15*j = -6780000. What is j rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868224 divided by 544.\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10*d = -14*d - 16, -5*t + 4*d = -34. Let z(y) = 3 + 0*y**2 - 2*y**2 + y**3 - 4*y**2 + 7. What is the remainder when 107 is divided by z(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {u: 6, y: 4, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/((-3)\/6 + 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2 - (32 + -36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) - 1*sqrt(2)) + sqrt(2) + -2 + -1 + (4*(sqrt(72) + -2))**2.\nAnswer: -383*sqrt(2) + 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*t = 25*t - 3360 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2146583 and 8074?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 799290823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1335?\nAnswer: -1\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 - -811\/5. Which is the nearest to -1? (a) -0.3 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343786 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -46) + -3 + -16 + 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/168*74\/(-4) - 5\/(-1). Which is the nearest to -7? (a) 9 (b) q (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10326609 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/22)\/(184\/506)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 12*h**2 + 8*h - 33. Let o be j(-11). Solve 45 = -o*c - 5*c + 5*m, 5*m = 2*c + 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -54. Suppose -6*k = -2*k - m. Solve h - 13 = -3*o, -2*o + k*h = -2 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 + u**3\/3 + u**2\/2 - 18*u - 19. Calculate p(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-42))\/(-1 - (-7)\/9). Sort 4, 0, x, 5.\nAnswer: x, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11545 - -11664. What is the remainder when 351 is divided by u?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-25)\/(-40))\/(185\/(-296)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*c + 31 = 0, 5*m + c - 35 = -0*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/4 of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 212201?\nAnswer: -212204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-35)*(-5)\/(-2) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 193*d**2 - 95*d - 89. What is n(96)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157 and 359373.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*t**2 - 1484*t**4 + 744*t**4 - 1 + 749*t**4 in the form g*t**3 + y + w*t + d*t**2 + n*t**4 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13009988 rounded to the nearest 10000?\nAnswer: 13010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1797380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/210 + t**6\/5 + 131*t**5\/60 - 13*t**4\/2 + t**2 + 394. Factor y(i).\nAnswer: i*(i - 1)*(i + 12)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 3*w**2 + 5*w - 1. Let t = -15 + 11. Does 17 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -20, -6 in decreasing order.\nAnswer: -6, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 57*z - 117. Let o be h(59). Which is smaller: o or 2\/16197?\nAnswer: 2\/16197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 3. Let h be k(-1). What is the smallest common multiple of 4\/6*(52 - (h + -4)) and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 46*q**2 + 16*q + 11. Let o be z(46). Suppose o - 672 = 3*k. Suppose -2*g - 3*g + 25 = 0. Solve -g*b = k, 0*d + 4*b = -d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose z*l = -20, 3*d - 4*d + 22 = -5*l. Find the second derivative of d*o - 2*o**2 - o**2 + 0*o wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -541181.\nAnswer: -82\/541181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -815 - -3079. List the prime factors of o.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361.7426 less than 0.3?\nAnswer: -3361.4426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*d**2 + 20*d**2 - 29*d**2 + (3*d + 2*d + 3*d)*(0*d - d - d).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110254679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 729 and 81.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1968 + -684. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 195\/2 - 159\/106. Suppose -3*f = -y - 0 - 4, -4*y = -f + 16. Let b be 8 - -1 - 12\/y. Calculate the highest common divisor of b and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 799\/36 - 1067\/36. Calculate the common denominator of (-658)\/372 - (-2)\/1 and m.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84188 and 1563068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxffxxfxxfxxxxxxxx. Give prob of sequence xf.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:06 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -52. Solve 5*c = l - 0*l - 20, j = 5*l - 5*c - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)\/((d*d*(d*d*d\/d**(6\/19)*d)\/d)\/d)*(d**(-3\/8)*d)**(-18) assuming d is positive.\nAnswer: d**(-2579\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492304, -492302, -492300, -492298?\nAnswer: -492296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9801660 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518753118 divided by -6.\nAnswer: -86458853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 95753 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104661 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 4. Let i = 2 + k. Suppose -4*m + 0*m = 4*h, m = -5*h + 12. Which is the second smallest value? (a) h (b) 3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/10 + 4*j**3\/5 - 12*j**2\/5 + 16*j\/5 + 5. Let w(h) = 0. Calculate h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from exxexeexxeexexee.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3566 - 3848. Which is the closest to g? (a) 2\/11 (b) -1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*j = -4*f + 26, -3*f + j + 1 = 0. Suppose -f = 4*g - 2*r, -3*g - 2 = 2*g - 2*r. What is the nearest to 0 in g, -0.2, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364813468 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159.25 - 12.85. Round w to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 - 0.7. Let l be ((-2)\/(-3))\/((-22)\/(-11)). What is the smallest value in r, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.64*-0.2.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -465307*u**2. Let l(m) = -2*m**2. What is l(v(h))?\nAnswer: -433021208498*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.897666 rounded to two decimal places?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1399.082 + -1399. Which is the third biggest value? (a) g (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20450 and 300800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 5*t - 6. Let x be f(-7). Let k = -10 + x. Let a be 0 + (0 - 0) + 27\/3. Sort k, a, -4.\nAnswer: -4, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(16\/5)\/(q\/(q*q\/((q\/(q*q*q**8))\/q*q)*q)))**(-39))**(-1\/5))**(-47) assuming q is positive.\nAnswer: q**(-130143\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/32, 3.756395 in descending order.\nAnswer: 3.756395, -3\/32, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 2*u**4 - u**2\/2 - u - 269. Give g(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*j**3 - 100*j**3 + 1343*j**3 + 767*j**3.\nAnswer: 1879*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -862 or -863?\nAnswer: -862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/2*(-4)\/42. What is the third smallest value in z, 2\/9, 5, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -75, 0, 1 in increasing order.\nAnswer: -75, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*v - 139*v + 678 - 3124 = 499 for v.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 2*z - 1548. List the prime factors of z.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/612108 and 145\/347677344?\nAnswer: 347677344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 445, 905, 1365?\n\"Answer: 460*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8757197921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-17 + 24 + -23 + 9 + 144)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -4 (c) 583 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 191134 - 191134 - 7*m - m. Let y(b) = 12*b**2 - 3. Let r(s) = -155*s**2 + 40. Let h(k) = -3*r(k) - 40*y(k). Calculate h(f(a)).\nAnswer: -960*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(153\/(-51)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = -3*x - 38, 11 = -x + p. Let n be ((-12)\/(-16) - 2)*-32. Let i = x + n. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2, 9, 5 in increasing order.\nAnswer: -2, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2201?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53243440 + -2?\nAnswer: -53243442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*q**3 - 726*d**3*q - 2*d**2*q**3 - 2754*d*q**3 wrt d?\nAnswer: 12*q**3 - 4356*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 17*j = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -144*g**2 - 13346*g + 4317. Give r(-93).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/15 - (-33)\/60. Let p = -2 - -1.5. Which is the closest to 1\/2? (a) p (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:37 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*w + 35*w**5 + 46*w**5 - 100*w**5 - 15*w wrt w.\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 + 5*i**2 + 32*i + 14. Determine s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 2, f: 3, k: 1, w: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let n = y + 0.00008. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:37 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69800670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n - 13. Suppose 0 = -p + 2*x - 10, p - 6 = x - 14. Let r(a) = -4*a - 6. Calculate p*f(b) + 13*r(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/24 + 5*p**2. Suppose 0 = -9*r + 3*r - r. What is f(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Suppose j*o = 8*o. What is the derivative of -20 + 21 + o*u**2 + u**2 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19b0bc (base 14) in base 9?\nAnswer: 1642584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61 and 761707?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/12215329 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 234218d (base 14) in base 2?\nAnswer: 1000000001101011000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.32287 centimeters in meters?\nAnswer: 0.5532287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 883995 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3*(-2)\/(-36)*6)\/(4\/75964)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104092.\nAnswer: 2, 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*s = 4, -s = 2*s. Let r = 25\/6 - 11\/3. Which is the nearest to r? (a) -5 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14094*h**2 + 9408*h - 8 = 0. Calculate h.\nAnswer: 2\/2349, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2561, -49?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**3 - 4320*j**2 + 46405*j + 435030 = 0.\nAnswer: -6, 17, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*b**2 - 8*b**6 + 32*b**6 - 12*b**6 wrt b.\nAnswer: 1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k. Let p(j) = -6*j - 9. Let t(l) = 7*l + 10. Let f(q) = -5*p(q) - 4*t(q). What is f(s(v))?\nAnswer: 4*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.397123 rounded to two decimal places?\nAnswer: 77.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from iciiaaiawakaaaaw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28925 - -28922. Let a(y) = 9*y**3 + 3*y**2 + 9. Let d(t) = 19*t**3 + 7*t**2 + 18. What is f*d(p) + 7*a(p)?\nAnswer: 6*p**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 30*x - 24*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 16*l + 6*l - 76*l.\nAnswer: -86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3463089*k**3 - 16171*k**2 + 8*k wrt k.\nAnswer: 20778534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 412, -5, 28, 5.\nAnswer: -5, 5, 28, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let y(o) = -5 + 12 + 5 + o. Let l be y(-10). Solve -l*v = -h + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - 5*z**3\/6 + 3*z**2\/2 + 15*z. Let g be a(3). Is g\/(-9) + 131\/3 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606324.\nAnswer: 2, 53, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1*3 + sqrt(1872) + -4*1*sqrt(1872) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + c + 516 = 0, -14*g - 3*c = -17*g + 300. Calculate the greatest common divisor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7083*d*q**2 - 4472*q**2 wrt d?\nAnswer: -7083*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 11. Let h be s(-6). Let a = 1 - h. What is the second derivative of -14*i**3 + 2*i**2 + 21*i**3 - 2*i**2 + a*i wrt i?\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 2, -2*h = -5*m + 9. Let l be h + 2 - 3*(-8)\/(-6). Let z(f) = -3*f - 2. Let n(i) = -4*i - 2. Let s(y) = -2*n(y) + 3*z(y). Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/12 and -35\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4167.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/28 and 109\/5460?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -71 (b) 1\/2 (c) 29 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let u(x) = -158391212*x. Calculate v(u(a)).\nAnswer: -316782424*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186.94 - -194. Let y = -0.06 + m. Let v = -7.0000004 + y. What is v rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 48055906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -15 - (-1 - -1). What is the common denominator of (1 + (-111)\/9)*(-63)\/60 and (-2 - c\/22)*-1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1418 + 154.9418. What is z rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**41\/(u**(3\/2)\/u)**(-2\/19) assuming u is positive.\nAnswer: u**(-1557\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let p(w) be the first derivative of 7*w**3\/6 + 8*w - 4. Let j(x) be the first derivative of p(x). Calculate c(j(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 39802563828.\nAnswer: -39802563826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17779*q*z + 736*q - 669*z - 4915 with respect to z.\nAnswer: -17779*q - 669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(567)*1 + (-1 + sqrt(567))*-5 + sqrt(567))**2.\nAnswer: -270*sqrt(7) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*b = 89*b + 825. What is the highest common divisor of b and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16330 (base 8) to base 3.\nAnswer: 101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 40*b - 2. Calculate j(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2603, -10488, -23629, -42026, -65679?\nAnswer: -94588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10716 and 6204.\nAnswer: 117876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p + 2*c + c, -4*p = -3*c + 7. Let a be 3\/(-2)*20\/(-6). Solve 0*t + 2 = 2*t - 2*u, a*t - 12 = -p*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -110*d - 4. Give t(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -0.34?\nAnswer: -7.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -313421161 divided by 5?\nAnswer: -313421161\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3104900 rounded to the nearest ten thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1. Let v(d) = -9*d**2 - 7*d + 5. Let m(t) = -v(t) + 6*y(t). Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/7 - 10*d**4\/7 - 18*d**3\/7 + 356*d**2\/7 - 89*d + 42 = 0.\nAnswer: -6, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -150b938 (base 14) to base 8\nAnswer: -47064636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11591 is divided by 5788?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4929 - 261*s - 4929 to m*s + h and give m.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 543 (base 10) to base 11\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44554 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4.6 (c) -5 (d) 59473.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248622 is divided by 49512.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001111001000111 (base 2) in base 8?\nAnswer: -3417107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -7965142 = -7965076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.1 + 77773394.\nAnswer: 77773330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/48 and 35\/103626.\nAnswer: 829008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*y + 162*y = 24. Solve 5*q - 4*q = -4*h + 10, 3*q = y*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-15)*(-1 - -6). Let h = -425 + 427. Suppose -d - h = -2*d, g*b + 2*d - 7 = 0. Calculate the smallest common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -2*f + 3*c, -16 = 4*c. Suppose f = -0*d - d. Suppose d = -2*m + 26 + 10. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 130 = -78 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1222 (b) -1\/5 (c) -2\/7 (d) -2\/21 (e) 3.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1)*224\/(-392).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.4 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8*p = 6. Let b = -646 + 5167\/8. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*v + 39, 5*x - v + 3*v + 79 = 0. Let p be 1\/((x\/(-36))\/5). What is the units digit of 105\/p + (-1)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 6*w + 6. Let b(p) = p - 2. Let d be b(0). Let z(j) = -1138*j + 1436 - 1435 + 1137*j + 2*j**2. What is d*v(g) + 11*z(g)?\nAnswer: 4*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1484 and 33\/5836?\nAnswer: 2165156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5240*z + 5238*z = -5*i - 19, 0 = z - i - 8 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 251, 425, 637, 899, 1223?\n\"Answer: 2*h**3 + h**2 + 131*h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -752, -1378, -2004, -2630, -3256, -3882?\nAnswer: -4508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11625863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 + 61330*a + 61325 = 0. Calculate a.\nAnswer: -12265, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -13. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 3*q**2)*(3*q**2 - 245 + 245) + 7*q**4 - q**4 + q**4.\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/15 - (-30)\/(-50). Suppose -190 = -2*s - b*s. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + 54. Suppose -3*y = -x - 54. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11a - 0?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2\/(-9) + 20\/(-180)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6806 - 204049\/30. What is the common denominator of b and 5 + 3379\/(-279) - -2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*(-3888)\/2886840 - (-3)\/((-66)\/(-4))\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + g**2)*(-4*g**3 - g**3 + 3*g**3 + 2*g**2).\nAnswer: -4*g**5 + 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - j**2 - 2*j**4 - 4 + 5*j**2 in the form q*j**4 + r*j**2 + n*j + x*j**3 + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2160 (base 10) to base 14.\nAnswer: -b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - q + 204127 = 0, 16*p = 17*p - 3*q - 68029. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csmsgsmtmsmcgmtccsct. Give prob of sequence ctmg.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306839 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -k - 2*k - 25, 5*k + 33 = -q. Let j(t) = 9*t - 1. Let u(m) = -7*m - 1. Let d(v) = 2*j(v) + 3*u(v). Calculate d(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11329790191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 631 - 201 = 0. Let v = j + 117. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67\/4378 or 0?\nAnswer: -67\/4378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 13. Let x be (-17)\/(-4) - 196\/168*9\/42. What is c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -158\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = o + 74, 4*o - 100 = 26*c + 1824 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Let z = 8 - 5. Suppose 4*s = z*s + 5*b + 30, 2*b = -m*s + 32. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7)*y*y**(-3)*y)\/((y*y**(2\/9)\/y)\/y)**(-35))\/(y**(-4)\/(y*y\/y**(-4\/7)))**(2\/11) assuming y is positive.\nAnswer: y**(-2605\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*p - 329 - 100, -2*p = -5*d - 1058. Let w be d\/(-5) - (-14)\/(-35). Let b = w - 16. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 7*p**4\/6 - 5197*p. Let r(x) be the third derivative of x**4\/6 + 2*x**2. Calculate r(d(q)).\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -4*v - 1524 = -5*i - v. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/272580 and 71\/66906.\nAnswer: 7359660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -68\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 0*x + x + 2*x - x + x - x - 3*x + x + (x - 3*x + 0*x)*(1 + 2 - 5).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31618?\nAnswer: 2, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.46 - -1.56. Is n equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) + 4)*4 + -4 + sqrt(128) + 1)*4)**2.\nAnswer: 16640*sqrt(2) + 53904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -80\/3 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 101360, 202718, 304076, 405434, 506792, 608150?\n\"Answer: 101358*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-2\/13)*i*i)\/i)**(1\/15))**(-5) assuming i is positive.\nAnswer: i**(-37\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8275110.\nAnswer: 2, 3, 5, 275837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5344 + 5334. Let y(w) = 6*w + 47. Give y(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/11, 0.21, 15\/4.\nAnswer: -1\/2, -2\/11, 0.21, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 30*d**2 - 3*d + 79*d**2.\nAnswer: 109*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 3*w**2 + 3*w**2)*(-22553*w + 11207*w - 6 + 11167*w).\nAnswer: 179*w**4 + 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587 + -397. What is the second derivative of -2216 - y*j**2 - 2221 + 53*j + 4437 wrt j?\nAnswer: -380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/15 - 278*h**2\/15 - 562*h\/15 - 94\/5 = 0. Calculate h.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 4 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Let l = 36 - 5.5. Let x = l - 31. Which is the closest to g? (a) x (b) -1.3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-2)\/456). Is (-7 - l\/(-18))*(-15261)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g**4 - 44*g**3 - 53*g**2 + 1029*g + 1024. Let i(z) = 40*z**4 - 132*z**3 - 158*z**2 + 3086*z + 3072. Let y(q) = -14*a(q) + 5*i(q). Factor y(n).\nAnswer: 4*(n - 8)**2*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from uuuuhuuuff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 46*b**2 + 79 - 79 to the form a*b + v*b**2 + w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414252 + 0?\nAnswer: 414252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**4 - 30*d**3 - 31*d**2 + 24*d + 53. Let a(b) = 3*b**4 + 15*b**3 + 16*b**2 - 12*b - 26. Let u(o) = 5*a(o) + 2*f(o). Solve u(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -127, 154588 in decreasing order.\nAnswer: 154588, -3, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - s - 553546 = 4546453, s - 25500001 = -5*v. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5*(-104)\/468?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 0*i)*(-5 + 4 - 2) - 1 + 1 - i + (-1 + 5 - 1)*(-2*i + 2*i + i) + (-3 + 0 + 4)*(-3*i + 3*i - 6*i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-2 - -3) - 0. Find the common denominator of ((-9)\/16)\/((-6)\/40) and (-159)\/(-4)*p\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/9, 2, -1, -0.6, -0.161, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126024, 126154, 126284?\n\"Answer: 130*w + 125894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6140 is divided by 3005.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 645225 times -0.06?\nAnswer: -38713.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Let r be b(19). What is the greatest common divisor of r and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14930*c**3\/3 - 89594*c**2 + 403362*c - 1134 = 0 for c.\nAnswer: 21\/7465, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) 5924 (c) 33 (d) -4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 19 = 46 + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 115 = 56. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**19\/((t\/(t\/(t**(2\/43)*t)))\/(t*t**13)) assuming t is positive.\nAnswer: t**(-1894\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 8)*(u - 180*u**2 - 168*u**2 + 350*u**2 - 915) to the form p + h*u**2 + s*u and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 75*w**2 + 45*w - 107. Is d(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyettytt. What is prob of picking 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1 - (-66)\/54). Let x be (1 - 50)\/(((-48)\/m)\/(-8)). Let t = 412 - x. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (0 + -2 + -67)) + 0?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + g = -5*o, o + 6 = 3*g. Suppose g*v = -5*x - 22, 0 = 2*v - 0*v - 4*x. What are the prime factors of (-44)\/v*(0 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**3 - 5*r + 2. Let c(p) = -3*p**3 + 5*p**2 - 4*p**2 - 1 - p**2 + 3*p. Let u(o) = -5*c(o) - 3*w(o). What is the first derivative of u(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 111?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765\/4886 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 3*p**4 - p**4 + ((-3*p**2 + 2*p**3 + 3*p**2)*(-2 + 0 + 0) - 4062 + 4062 + 18*p**3 - p)*(-3*p + p + 0*p).\nAnswer: -29*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (1 + 1 + 0). Let v be (1\/(-2))\/(1\/o). Let a be v\/3 + 56\/6. Solve 3*c - a = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2676762071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74\/7 - -652\/63. Let l = 81.8 - -15.2. Let t = l + -94. Which is the smallest value? (a) -10 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -83, -188, -335, -524?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 56*d**2 - 251*d - 47. Is h(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 5*w - 2. Let p be (9 - 4)*(-1 + 0). Suppose 6 - 3 = 3*z. Let r(q) = -81*q**2 + 79*q**2 + 0*q - z + 0*q + 3*q. What is p*r(g) + 3*b(g)?\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51\/46 + -229\/115. Let m = 22837 - 456629\/20. Find the common denominator of g and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2144 or 8765?\nAnswer: 2144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 571063458 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6337\/2885 - 2\/577. Let w = 2 - 5. Is w at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {f: 2, l: 6, i: 4, p: 4, w: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1249 - -1186.2. Let k = -96.95 - -4.45. Let d = b - k. Round d to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 2. Let s = x + 17. Calculate the least common multiple of s and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263289 divided by 3?\nAnswer: 87763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22273)\/(-126) + (-3)\/6. Let w = -1265\/7 + l. Calculate the common denominator of w and -57\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**3\/6 + 2*k**2 - 8*k. Suppose -4*i = -0 + 4. Let m(r) = 4*r**3 - r**2. Let x be m(i). Calculate q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 107. Let w = 8.7 + a. What is the second biggest value in -13, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 4:30 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyxyjjy. Give prob of picking 3 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*g - 752*g = -192 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -658\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x**2 - 4*x**2)*(1 + 2*x - 1) + x**3 + 4*x**2 + 13748 - 4*x**2 - 348 + 1559.\nAnswer: -x**3 + 14959","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:46 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 12*y**2 - 9*y + 24. Let g be s(11). Suppose -12*h = -g - 38. What is the remainder when 69 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s + 52*s - 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131305724, 262611460, 393917198, 525222938, 656528680, 787834424?\nAnswer: 919140170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 402*k - 6963. Determine q(17).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1313993338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-6 + (-7 - -20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d - 7. Let n be z(-3). Let x = -34 - -10. Let t = x - n. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183962704 to six decimal places.\nAnswer: -0.018396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9fcaa (base 16) to base 3.\nAnswer: 1020020210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*c**2 + 1 - 1)*(-2 - 1 + 4) + c**2 - c**2 + c**2 + 2 - c**2 - 2)*(3368*c - 80*c + 1380*c) as a + q*c**3 + l*c**2 + i*c and give q.\nAnswer: -9336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 15*m + 3*l + 27 = 0, -10*m - l + 46 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/6)\/w)\/w*w**(5\/8)*w*w**(-3)*w**(-2\/31) assuming w is positive.\nAnswer: w**(-3179\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4316.443ml?\nAnswer: 4.316443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose m = 7 - 3. Suppose -m*f + 53975 = -j*t - 9*f, 5 = f. What is t rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1025\/7 + 146. Let t = 57.3 - 1.3. Let c = t + -55.6. Sort y, 1.6, -0.2, c in descending order.\nAnswer: 1.6, c, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(6 - 9 + 7)*(2 - 2 + 2*j) + (-2 + 6 - 3)*(3*j + 3*j - 4*j) + 0*j + 0*j - j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/47)\/(w**9\/w)*(w*w\/((w**8\/w)\/w)*w)**(1\/22) assuming w is positive.\nAnswer: w**(-8457\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*l**3 + 45*l**3 - 77*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22839 - 16038. Let s be ((-591)\/(-3))\/(1\/67)*1. Let q = s + w. Round q to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**7\/2100 - u**6\/450 - u**5\/300 + u**4\/30 - u**3\/3 + 4. Let f(z) be the third derivative of i(z). Factor f(q).\nAnswer: 2*(q - 2)*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqkqkkwq. What is prob of sequence wwk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 13*a + 23. Let i be t(14). Let p be (21\/i)\/((-77)\/(-33)). Let f be ((-33)\/12)\/((-2)\/8). What is the greatest common factor of f and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 44566668.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*h + 151 = 0, -2*j - 3*h + 1 = -102. Let p = 6295 - 6291. What is the smallest common multiple of j and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319055 - -319061.08436. Let n = u - 5.884. Let p = -0.2 + n. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1269 - -1335. What is the greatest common factor of f and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 4*b - 4. Let k be q(-6). Solve f - k = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*q - 250, 1223 = 5*d + 2*q - 0*q. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, y: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -391043, -782085, -1173127, -1564169, -1955211?\n\"Answer: -391042*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 13*c - 20 = 0. Let z = 8 + c. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*o**2 - 593*o**2 + 89*o**2 + 238*o**2 + 628*o**2.\nAnswer: 670*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3864*j - 1350*j - 495*j + 2 = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(1\/(-907)). Let z = 471 - v. Calculate the common denominator of z and 9\/7*(-35)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 5*o**3\/6 + 3*o**2\/2 + o. Let i be p(3). Suppose 14*b - 41 - 715 = 0. What is the highest common divisor of i and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 27, -28, -3 in increasing order.\nAnswer: -28, -3, 27, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 - 29. Let g = 56 + s. Let m be ((44\/g)\/(-11))\/2. Which is the third biggest value? (a) m (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 13. What is the units digit of (-2)\/5 + 14\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211223003 (base 4) in base 10?\nAnswer: 154307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 8*184\/240 + 4\/(-30).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-20)*-2*(3 - 4) - 15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4377940803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-10))\/(9\/150). Let w = 21 - h. Let f be 5\/50*(-10)\/w. Which is the third smallest value? (a) f (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 40 = 44. Suppose -l*q + q = 3*p + 6, -3 = 4*p + 3*q. Suppose -2*o + 12 = -o. Solve z + 0*s - 5 = -p*s, -4*z + 4*s - o = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - p**2 - 3*p**2)*(-7 + 2 + 1)*(1 - 2 + 3).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16062 + 16059. Let s(c) = 17*c. Let x(z) = 18*z. What is l*x(k) + 4*s(k)?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 15, -4*f - 4*g = -2*g - 1198. What is the remainder when f is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 563 + -563. Which is smaller: v or 11\/52?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-5) + 6 + (-33)\/5. Let a(s) be the second derivative of 7\/48*s**4 - s + 1\/4*s**t + 3\/8*s**3 + 0. Factor a(c).\nAnswer: (c + 1)*(7*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 13*w - 1. What are the prime factors of s(5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 1368*s**2 + 207936*s - 10535424 = 0. Calculate s.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 259*k = -1554, -4*k - 2140 = 2*p - 2116 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467.7028 milligrams to nanograms.\nAnswer: 467702800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m + 51. Let q be g(-4). What is the remainder when 36 is divided by (-198)\/(-10) + q\/(-65)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 4*l - 5. Suppose c = 3*s + 2*c - 14, 3*c - 18 = -3*s. Let u be d(s). Suppose -3*q + 1 = -u. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*d + 67 - 11, 55 = -5*q - d. Does 11 divide (-1 + q + 2)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22573*o = 22576*o - 6. Solve -4*j - 150*l - o = -153*l, 5*j = -4*l + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = 4*i, 3*y - 2*i + 5*i = 3. Solve 4*f = y*v + 8, 12 = 3*f - 2*v - v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 15 = 21. Let m(o) = o**3 - 2*o**2 + 2*o - 2. Suppose -4 = 6*t - 16. What is the remainder when t is divided by m(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10365\/12 - (-9)\/(-12) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2460 and -121\/12253014?\nAnswer: 122530140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -2. Let v be (1\/(-2))\/(s\/(-10)). Let o(a) = -5*a**3 - a**2 + 1. Calculate o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-442)\/442*(-412)\/(-249) + (-10)\/(-6).\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m = -492 - 348. Solve 0 = -m*o - 17 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103572 and 420.\nAnswer: 517860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*c**2 + 10 - 10 - 5*c wrt c.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.813 and -5?\nAnswer: 9.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/12481? (a) -7 (b) 0 (c) -0.6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/27*(2 - (-2)\/2). Suppose h*q - 3 = 7. Let v = q + 7. Solve -5*r + 4*g = -v, -4*r + r + 3*g + 9 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 6 = -3*r + 149, 363*c - 366*c - r = -13*r - 60 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 34 - 20 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004173505 rounded to 6 decimal places?\nAnswer: -0.000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i. Let p = 0 + 3. Let r be (1 - -3) + 69\/p. Let q(c) = 27 - 2*c + 3*c - r. What is q(z(o))?\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*t**3 + 43*t**3 + 1 - 27*t**3.\nAnswer: -95*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 262, 235, 200?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 214. Suppose -6*k + 82 - z = 0. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 - c. Suppose -8 - 69 = -77*l. Calculate z(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j - 66*j + 41*j - 3*j**2 + 78*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - -80. Let p = -24685 - -24631.061. Let y = p + c. What is y rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/3 + 352*v**3\/3 - 4042*v**2.\nAnswer: -2*v**2*(v - 129)*(v - 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23536631.\nAnswer: -4\/23536631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134679 is divided by 134648.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038884 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-8)*(-15147)\/(-5967)\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 14020?\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfggffg. What is prob of sequence gn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*s + 92*s + 110. Let p(r) = -3*r - 5. Let f be p(-3). Suppose -5 = f*b - 109. Solve s - b = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 1.2. Let o = 1 - -4. What is the third biggest value in o, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -115*j + 155 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 6*b - 1. Let w(o) = -o**2 + 3*o - 1. Let i(r) = 2*p(r) - 5*w(r). Suppose -79*v - 111 = 126. Calculate i(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/151 - -7699\/302. Let q = 355\/14 - g. Sort 3, q, 4.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180)*-2 + sqrt(180) + 0)*-3)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -17*d**5\/10 - 57*d**2\/2 - 2*d + 22. What is the derivative of n(j) wrt j?\nAnswer: -102*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-23)\/(-207). What is the smallest value in -1, 1\/31, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 82, 186, 320, 478, 654, 842, 1036?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -f?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 31, 26, 1, -50, -133, -254, -419?\n\"Answer: -k**3 - k**2 + 19*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 719*z**2 - 29699*z + 29699*z to n + f*z**2 + t*z and give f.\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 smaller than -1505\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 9. What is the least common multiple of g(-1) and 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.36. Let c be (-31)\/(-5) + 50\/(-20)*(4 - 2). Sort t, -2\/7, 3, c.\nAnswer: -2\/7, t, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*d**2 - 1 + (11 + 12 - 10 + 4*d)*(25 - 25 - 5*d) to the form z*d + r*d**2 + k and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 33*f**2 + 11*f - 4. Let z(x) = 35*x**2 + 10*x - 5. Let t(a) = -5*k(a) + 4*z(a). Find the second derivative of t(j) wrt j.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 11:49 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b - 4 = -86*b. What is the first derivative of 74 - 737*z**b + 737*z**2 - 76*z**3 wrt z?\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8429733 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(832) + 3*(sqrt(832) - sqrt(832)*2)**2) + (-6*2*sqrt(65))\/(sqrt(20)*-2))*-5.\nAnswer: -12480 - 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211\/6 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 1, y: 11, o: 1, c: 3}. Give prob of sequence ic.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 9429*n**2\/2 + 2648*n - 6112. Differentiate m(q) wrt q.\nAnswer: 9429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dcc + 43?\nAnswer: -1d89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-3)\/(-2 + 37\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -340*y + 300*y - 880 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472215160 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2563 + 9*l - 2*l - 1262 - 1301.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.304 - 0.35. Let l = 742759 - 742759.0460027. Let h = l - r. What is h rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**8 assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9485 = 2*n + 9489, 46*n - 178 = 4*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 816 = -12*q + 5*p, 3*q - 4*p = 822. Let j(b) = 20*b**2 - 2*b + 1. What is the remainder when q is divided by j(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476031 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 2\/39 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/11748 and -57\/7832.\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7*j - j = u - 54, -21*u - 5*j + 257 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(44\/(-3))\/4. Let a = j + 13. What is the first derivative of 4 - 9 - 5*f**a + 4 - f**2 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -2\/13 (c) -1\/5 (d) 10.6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 530 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*c = -1, 3*c = -5*q - 0*c + 7. Let f = 1 + 1. Let j(y) = -q - 2*y + f. Let s(b) = 2*b. Determine s(j(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9744.864nm to millimeters.\nAnswer: 0.009744864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2613744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 0, -5 in decreasing order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:25 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 8) to base 10\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**5 - 25*f**4 - 20*f**3 - 5*f**2.\nAnswer: -5*f**2*(f + 1)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*l = 56, -3*q + 3*l + 2*l = 74. Put -3, q, 3, -4 in ascending order.\nAnswer: q, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23190 is divided by 23153.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1210 divided by -55\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b + 5*x = -163, -4*b - 4*x = -532. Let c = b + 76. Let d = c - 136. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 230 = -45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 4*y - 8 = 0, 0 = 5*d + y - 2. Let z be (d + 2 + -2)\/1. Suppose -i + z = 1. Is -3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vgxsg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*a**2 - 128*a**2 - 44*a - 209*a**2.\nAnswer: 84*a**2 - 44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.476573 millennia?\nAnswer: 7476.573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538786 is divided by 15504.\nAnswer: 11650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose -3*z = -l*z + 15. Solve -z*y - 11 + 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2067, -2065, -2063?\n\"Answer: 2*b - 2069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340004793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 952.2173 years in centuries?\nAnswer: 9.522173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - 4. Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*v - 13 = 0, -2*g + 3*v - 24 = -5*g. Suppose k + 34 = 3*r, 85 = g*r + 3*k + k. Suppose r = h - 3. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-7))\/(10\/70)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 3*w - 31, -10 = -2*q. What is the tens digit of 109\/w - 15\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -12. Let w = n + 11. What is the remainder when 19 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a - 4*a**2 + 5 + 8\/3*a**3. Find the second derivative of l(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*r\/(r\/r**(-3\/7)))\/r)**(-4\/29) assuming r is positive.\nAnswer: r**(-44\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 679115 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 0 - 57*z + 0*z**2 + 11\/6*z**3. Let v(y) = -4*y**2. What is v(p(j))?\nAnswer: -484*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1134.936525 to the nearest 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c + 203*c = 390 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 + -286. What is the nearest to z in 3\/2, 0.5, -3\/13, 2\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.4 - -40.3999945. What is p rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(-m + 7*m - 4*m)*(-3 + 0 + 1).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-833)\/(-595))\/(((-152537)\/(-110))\/7).\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 6*d + 7. Let r be o(-5). Suppose 16 = 2*n + r*n. Find the second derivative of -4*x + 6*x - 5*x**4 + 4*x**n wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + 3*m**2 + 0*m**2 - 5*m**2. Let l(p) = -p - 3. Let c(z) = -4. Let k(t) = -3*c(t) + 4*l(t). Calculate h(k(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977740 divided by -994435?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 + 6*y)*(-12*y - 1 + 148*y + 1546*y) in the form o*y + p + s*y**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 14*w**2 + 9*w + 9. Let d(x) = 7*x**2 + 4*x + 5. Let p(n) = 9*d(n) - 4*l(n). What is the derivative of p(j) wrt j?\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2943*c**4 - 21*c + 1376. Let o(n) = 2943*n**4 - 18*n + 1375. Let k(w) = 6*i(w) - 7*o(w). What is the derivative of k(y) wrt y?\nAnswer: -11772*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - c + 100 = 3822*t - 3823*t, -23*c = t - 575 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*r + 4*m - 3*m, r - 5*m + 12 = 0. Let q be (6\/(-4))\/(r\/4). Suppose -2*h = q*h + 1050000. What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 8*j + 10. Let y(q) = -5*q**2 + 24*q + 29. Let f(c) = -8*a(c) + 3*y(c). Determine f(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0365*129.\nAnswer: -4.7085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -3, -9 in ascending order.\nAnswer: -9, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let o(z) = 4*z**2 + 2*z - 2. Let g be o(-2). What is the units digit of (-6)\/g*(m - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/5 - 128*z**2\/5 - 259*z\/5 - 26 = 0. What is z?\nAnswer: -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.807 rounded to 1 decimal place?\nAnswer: -74.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -47, -4, 75, 202, 389, 648, 991?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1131273*w + 15353278?\nAnswer: 1131273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 129.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -34*u. Let w be b(-1). Let d = w + -19. What is the least common multiple of 8 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 828953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10717, -26421, -42125, -57829?\n\"Answer: -15704*f + 4987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 3}. What is prob of picking 1 l and 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*o - 11. Let d(x) = x**3 - 3*x**2 - 2*x - 6. Is d(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 2*u**3 - 3*u**3 + (28*u - 4*u**2 - 28*u)*(5*u - 7*u + 10*u)*(-2 - 1 + 1) - u**3 + u - u to c*u**3 + j + b*u + h*u**2 and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s**3\/2 + 138972*s**2 - 92655*s\/2 - 92649 = 0 for s.\nAnswer: -30883, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 59*j**3 - 3 + 103*j**3 + j - 45*j**3. Suppose p - 6 = -2*p. Let g be c(p). Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 14. Suppose 5*y + 4*q = -o, y + 6 = -0*y - 2*q. What is the second derivative of -2*u**3 - u**3 + 6*u - y*u**3 - u**3 wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1627\/4 + 408. Solve -1\/4*v**4 + 3\/4*v - 7\/4*v**2 + 0 + g*v**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13161.\nAnswer: 3, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000225678 rounded to 7 decimal places?\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2757727490 to the nearest integer?\nAnswer: 52514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 297720 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*f - 2*f + 18, -4*o = -2*f - 22. Calculate the remainder when 34 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*m + 6 = -5*x, 3 = 3*x + 5*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*x + 446, m - 91 + 328 = -2*x. Let v(i) = 28*i - 22. Let o be v(13). Let f = o + m. What is the remainder when f is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(32))\/(sqrt(96)*2) - ((sqrt(15)\/sqrt(3)*-4 - (sqrt(40) + sqrt(40)*2)\/sqrt(8))*5)**2.\nAnswer: -6125 + sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 76405644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 18 - 8 + 15*t**2.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20*w + 4. Let x(i) = -2*i**2 - 30*i. Let u(b) = -3*b**2 - 40*b. Let z(a) = 3*u(a) - 4*x(a). What is z(d(p))?\nAnswer: -400*p**2 + 160*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:52 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 11 + -7 + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/13 - 544*h**3 - 398766*h**2\/13 - 7528240*h\/13 - 47314400\/13 = 0. What is h?\nAnswer: -3479, -20, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.95541 grams in micrograms?\nAnswer: 35955410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p + 2*p)*(-3 + 1 + 0)*(-19394*p + 697*p**2 + 19394*p).\nAnswer: -2788*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 5*s - 1. Let v(m) = -7*m**2 - 15*m + 4. Let z(h) = -8*n(h) - 3*v(h). Does 13 divide z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 55. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838102947 a multiple of 1056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Let k be (-2)\/9 + (-80)\/(-36). Suppose -k*y = -3*f - 3, -3*y - 4*f + 14 = f. Solve y*j - 19 = -5*x, 15 = w*j - 3*x + 6*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 6*q - 57 = 0. Put q, 1\/7, 0 in ascending order.\nAnswer: q, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-158 - -159)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11420312 + -2313?\nAnswer: -11423130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 38*o**3 - 5*o. Let g(k) = 495*k**3 - 66*k. Determine -5*g(c) + 66*l(c).\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 17 = d + 3*y, 2*y - 13 = -d. Suppose -4498 = -4*x - 2*u, -x + 1152 = -0*x - d*u. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-4))\/((-13739)\/1249).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -6*b**4\/5 - 1652*b**3\/5 - 225482*b**2\/15 + 15921976*b\/15 - 185782088\/15 = 0.\nAnswer: -158, 61\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-17)\/(-204))*105\/45\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -185.8. Let f = l - 10.5. Let o = 1.51 - 0.11. Which is the fourth smallest value? (a) -1 (b) o (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:43 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(14)\/(sqrt(7)*3 + sqrt(7)) - sqrt(2)) + (0 + sqrt(18) - sqrt(18)) + 1.\nAnswer: -3 - 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*w = -4*w - 5, -4*i + 5*w = -25. Suppose i = -s - 5*a - 23, 11*s - 3*a - 19 = 9*s. Solve -s*r + 3*z + 6 - 20 = 0, -2*z = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 65*s + 24. What is u(-2)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610683, 1221498, 1832313, 2443128?\nAnswer: 3053943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (39\/(-325))\/(((-21)\/2)\/7)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937121, 3748454, 8433997, 14993750, 23427713, 33735886?\nAnswer: 45918269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**12*d))\/d*d*d\/(d\/(d\/(d*d**(-14)\/d*d))))**13 assuming d is positive.\nAnswer: d**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 4*z + 2*z - 5 + 2*z + 2*z. Let b(x) = -14*x + 5. Let l(w) = -2*b(w) - 3*q(w). Give l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(68475\/4648)*(-88)\/48\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*a + 2*g + 203, 13 - 16 = -3*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 51012452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 2:13 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019433 - -813442067.\nAnswer: 813442066.980567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + -212045400.5?\nAnswer: -212045401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -317 - -232. Suppose v - 4*r - 194 = 0, 6*v - v = 5*r + 1045. Let q = f + v. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 2*f + 6 - 14, 0 = g - 3*f - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2. Suppose 10 = 2*h - h - 5*m, -m = 0. Let o = 8 - h. Let f(c) = -c**2 + 3. Let a(d) = o*f(d) - 3*y(d). Let g(u) = -u. Determine g(a(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) -131 (d) 0.185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8579553626?\nAnswer: 2, 7, 19, 32253961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110178410 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 36. Suppose -8*y - 13 = -b*y. Suppose -2*h - 7 + y = 0. Solve 4 = g + h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*y - 93, -y + 80 = 5*s - s. Let c be s\/6*(6 + 449292\/(-74886)). Is -1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 i when four letters picked without replacement from ddiddddiiddii?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2951 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1261*-1563\nAnswer: -1970943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.20564 and 0.2?\nAnswer: -0.041128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 3:44 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174.2 + 174. Put 0.2, u, 108, -2 in ascending order.\nAnswer: -2, u, 0.2, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u - 3. Suppose d = -3 + 8. Let j be n(d). Suppose 2*w + 2046 = j*w + p, -5*w - 5*p + 2030 = 0. What is w rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 38. What is g(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2 - (-3 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5 = -17. Let u(m) = m**x + 0 + m**3 + 6 - 10*m**2 + 8*m. Give u(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 505, 478, 449, 418, 385?\n\"Answer: -b**2 - 24*b + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s*s**1)\/s))**(-4\/11)*s**(2\/5)\/s**(2\/3))**38 assuming s is positive.\nAnswer: s**(608\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 35 - (0 - (-2 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 31\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -23, 0, 8, 3 in descending order.\nAnswer: 8, 3, 0, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d0803 - -3?\nAnswer: -1d0800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 472*k**3 + 1066*k**2 + 12*k + 12. Let r(b) = -189*b**3 - 426*b**2 - 5*b - 5. Let s(u) = 12*r(u) + 5*w(u). What is the third derivative of s(y) wrt y?\nAnswer: 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1210*t - 939. What is d(-1)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Suppose 20 = v*p + p. Let -p*f + 3*f + 4*f**3 - 3*f**3 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12046716 and 891?\nAnswer: 108420444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12893 = -219*k + 10186 + 423 - 69 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12\/7 - -142\/91. Is t at most as big as -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 102906749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*l + 22, -l + 5*l + 10 = -2*i. Suppose 253 = 5*k + b, 0 = -i*k + 4*b + 165 - 4. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 488, 880, 1338, 1856, 2428, 3048, 3710?\nAnswer: 4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 30 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 4*p**6\/15 + p**4\/4 + 3*p. What is the third derivative of a(s) wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 39*z - 22*z - 19*z. Let b be 4\/(-3)*3\/(-1). Let n(k) = b - 4 + k. What is c(n(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (15 - 13) + 3 + -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 11*j - 10. Let a be n(-9). Suppose a*m - 110 = 3*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100131013 (base 4) to base 13.\nAnswer: -455791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79.9, 1\/4, 4, -4, 0.3 in increasing order.\nAnswer: -4, 1\/4, 0.3, 4, 79.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -6*f - 128. Suppose -2*x + 483500010 = -5*o, 4*o - 12*x = -f*x - 386800020. What is o rounded to the nearest one million?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1174, -2119, -3064, -4009?\nAnswer: -4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859134 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2 - 1)*(-1 + 2 + 0)*(5*t**4 - t**4 - 2*t**4) to p*t**3 + a*t + j*t**2 + w*t**4 + x and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 18, a: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2976)\/60)\/8 - -6 - (-101)\/5\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/115 (b) 4 (c) -4 (d) 0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 + 3. Let m(j) = j**3 + 6*j**2 + 5*j - 5. Let k(h) = h**2 + h + 4. Let r be k(-3). Let c be (4\/(-4))\/(2\/r). Let v be m(c). Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*((u*u**(-6)\/u)\/u)\/u)*u)\/u**(-1))**(7\/11) assuming u is positive.\nAnswer: u**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192.5 - -164.63. Let f = v + 28. Let s = 0.1 - f. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.042627216.\nAnswer: -0.383644944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64\/57 + -15\/19. Let l(k) = k**3 + k**2 + 2. Let j be l(0). Suppose 4 = j*o + 2*o. Which is the second smallest value? (a) 4 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose 972 = 6*p - r*p. Suppose 0 = 4*x + 5*f - p, -286 + 100 = -3*x - 3*f. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -202 - ((-4)\/2 - -3). Let l = c + 1012\/5. Let o = 4.1 + 0.9. What is the smallest value in o, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + a + 30600 - 4160 = 0, 3*a - 132200 = -5*h. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 14. Let l be ((-4)\/d)\/(3\/(-78)). Find the second derivative of -8*s**5 + 251*s**2 - s - 251*s**2 + l*s wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + 5*h - 15 = 0, 2*n = h + 6. Suppose 3*m - 2*v = n*m - 246, m = v + 121. Solve -m*y = -126*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8412a (base 12) in base 10?\nAnswer: -172978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1298 and 4071?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516623 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - p**2 + 1 - 6*p**2 to z + r*p**2 + v*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 3. Let i(m) = -m**2 - 1. Let o(v) = 3*i(v) - u(v). Let b(q) = -275*q**2. Give b(o(g)).\nAnswer: -1100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -6.4. Let r = 5.4 - t. Let w = r + -31.4. Which is the nearest to 0.3? (a) -1 (b) 2\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1031, 673, 315, -43?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37141578 and 66.\nAnswer: 408557358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1)*x)**(-46))**(-18)*((x**2*x*x)\/(x*x**(-7)))**(-4) assuming x is positive.\nAnswer: x**788","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.15, 2, -5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-198))\/(((-80)\/45)\/8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeoeeeeooeoeeeo. Give prob of sequence eo.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -9) - (16 - 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 500*u - 253*u - 247*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108725085.\nAnswer: 3, 5, 7, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4068?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12, 3*g + 3*l = -g + 25. Suppose g*h = 86 + 314. Calculate the greatest common divisor of 40 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 13262816?\nAnswer: 13262817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 10) to base 13.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l + 4*l + 12*l + 7*l. Let k(h) = -7*h - 16. Calculate k(n(v)).\nAnswer: -189*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36993191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6062 - 5?\nAnswer: 6055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/4662268 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 6*q + 4. Let t be b(4). Let y be (-2)\/1 + -5 + t. Suppose y*r - 571 = 19. What is r rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let o = 50 - 50. Suppose 3*b - 1 + 34 = o. Give l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 13*r - 387. What is the remainder when 140 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 79*u + 1387. Determine v(-18).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207529?\nAnswer: 7, 23, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let k(o) be the second derivative of o**4\/8 - 5*o**2\/2 + 4*o. Let d(r) be the first derivative of k(r). Determine f(d(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 60780 = 5*n, 0 = 5*z - 6*n - 33998 - 26716. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1206, -2296, -3270, -4128, -4870, -5496?\n\"Answer: 58*c**2 - 1264*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 9}. What is prob of picking 1 j and 1 g?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s - 53. Suppose -15 = -7*m + s. Suppose -g = 2*g + 3*y - 2097, 0 = -4*g + m*y + 2764. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 24. What is m(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:37 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -1\/4, 2699, -0.7, 0?\nAnswer: 2699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 835? (a) -0.1 (b) 0.1 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from cfy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.027 * -6.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -4, -3\/4, -0.113, 0.1, 0.022?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9547*j - 38570. Give a(4).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2982 - -3092. Solve -6*x - o = -122 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 + 81*w - 50. Calculate the remainder when 672 is divided by z(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -58*r**3 - 3*r**2 + 17*r + 131. What is the tens digit of b(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 + 204*o**2 + 3*o**2.\nAnswer: 222*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*i - 42 - 302 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -5*a. Let l(c) = -5*c**2 + 4*c + 4. Let y(v) = v**2 - v - 1. Give a*l(b) + 4*y(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 3. Determine l(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y**5 + 4760688*y**4 + 35435840*y**3 + 50596120*y**2 + 13926932*y - 5993928 = 0. Calculate y.\nAnswer: -44073, -17\/3, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17119386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 977 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (2*sqrt(99)*-2 - sqrt(99)))\/sqrt(11))\/(3*((sqrt(3) - (sqrt(30)*4)\/sqrt(10)) + sqrt(3))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18750 and 2250.\nAnswer: 56250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3, -26, 0.2 in increasing order.\nAnswer: -26, -3, -2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12111*l**3*v**6 - 3*l**3*v**2 + 16*l**3 + 4*l*v**6 + v**2 + 1363*v wrt v?\nAnswer: 1453320*l**3*v**3 + 480*l*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*z = -0*z - 6, 5*z = 3*i - 7. Determine o, given that -o - 14*o**3 - o**2 + 5*o - 5*o**2 + 0*o**2 + 10*o**5 + 6*o**i = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56619 and 770997.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 645133784 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21578 - -22020. What are the prime factors of l?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 20) + (-8 - 4 - (-6 + -5 - 3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340997085?\nAnswer: 3, 5, 11, 13, 19, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 33, 70, 125, 204, 313?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 9 = 0, 7*a - l - 13 - 21 = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3*(-1)\/(-9)). Let z be -4 + 12 + (-3)\/(-1). Let q be (z - 12)*(0 - -1). Put 14, q, r in descending order.\nAnswer: 14, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:09 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*48\/40 - (-40)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/4 - 21*c**2\/2 - 93*c\/4 + 189\/2 = 0.\nAnswer: -9, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 3, 11, 25, 45?\n\"Answer: 3*f**2 - 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/25*(-7 + 273\/42)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9492, -18984, -28476?\nAnswer: -37968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 11*z**2 - z + 12. Let x(n) = -n**2 + 1. Let v(g) = -h(g) + 6*x(g). Let i(r) = -r**3 + 5*r**2 - 2*r - 3. Let c be i(4). Calculate v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiieiezizzeu. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*x + 41852, y - 3603 = -2*x + 17328. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**4 - 400*c**3 - 375*c**3 + 747*c**3 - 8*c + 8 - 38*c**2 = 0. What is c?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 9)*(-18 - j**4 + 18) - 18*j**4 - 14*j**4 + 15*j**4 as p*j + w + r*j**4 + d*j**3 + q*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 - 100. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 0.2, -14, 5, -0.5.\nAnswer: -14, -0.5, 0.2, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -43839 * 22\nAnswer: -964458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-40)*(-5)\/2. Let r be 1\/u*-14 - 3. Let s = 1111 + -1111. Solve r*m + s = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10019 - 9996. Solve r - 1 = g, -g + 4*r - 27 = -z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 14. Let r(g) = -g**3 + 5*g**2 - 2*g - 2. Let a be r(2). Let j = a + 2. Calculate the least common multiple of f(8) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - i = 1, i = 16*d - 13*d - 1. Solve -3*b + 13*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55 * 0.03\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {z: 1, g: 4, q: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 - 4*w - 5. Suppose 5*y - 13 = g, -4*g + 5*y = -9*g - 5. Let p be f(g). What are the prime factors of ((-70)\/p)\/((-6)\/9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 309, 730, 1329, 2112, 3085, 4254, 5625?\nAnswer: 7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 157.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/4 + 1). Suppose -2*r + 4 = -o. Let d(u) = u + 28. Let b be d(-28). Solve b = -r*c + c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -12.2. Let z = j + 9.999999. Round z to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -21. Suppose -4*j - 13 = 3*z + 3, 20 = -5*j. Suppose 4 = -z*h + h, b = 3*h + v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 252, -1, -0.22 in increasing order.\nAnswer: -1, -0.22, 61, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518763714 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021728 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43c83 (base 16) to base 8.\nAnswer: -1036203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 0*v**2 + 1\/3*v**3 + 1\/10*v**5 + 0 - 1\/3*v**4 - 5*v. Factor b(a).\nAnswer: 2*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -6, 23, 84, 189?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3321, -6907, -10731, -14799, -19117?\nAnswer: -23691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024220 (base 5) to base 6.\nAnswer: 212415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = 4*w. Let x be (-1)\/2 - 10\/w. Suppose 4*f**3 + 3*f**3 - 5*f**3 - 2*f**x = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6708172189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -287 (c) 1\/18 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204620\/3 - 68206. Factor 0 - k*a**2 - 1\/3*a - 1\/3*a**3.\nAnswer: -a*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 4625?\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -54*v + 4. Let q be l(4). Let z = q + 475. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 11*u + 12. Let l be h(-12). What is the second derivative of -1053*t - 15*t**2 + 1051*t + l*t**2 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1646*n*s*w**3 - 2*n*s*w + 5*n*s - s*w**3 - 148*w**2 wrt w.\nAnswer: -9876*n*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 6)*(-3*l**3 + 2*l**3 + 3*l**3) - 172*l**3 - 173*l**3 - 2973*l**2 + 1226*l**2 + 343*l**3 to u*l + o*l**2 + m*l**3 + a and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 4*a**2. Let p be f(4). Let c be (-6)\/51 + (-260)\/1547. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = i, 1 = 3*s + i - 2*i. Solve 3 = s*j - h + 7, -h = j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -128*z + 631. Calculate k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3356 and 1678.\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from mznmzzznnmnbznzzzmgn.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44400569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n - 179 + 39 - 265 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + -463. Let w = a - -180. Suppose -5*l = -81 + 46. Calculate the smallest common multiple of l and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2647488 is divided by 882491?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2179008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*v = 17, 2*n + 2*v = 6*n - 18. Put 98, n, -2, -3 in descending order.\nAnswer: 98, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5\/4 + 9*d**4\/2 - 17*d**3\/4 + d = 0. Calculate d.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627995?\nAnswer: 3, 5, 17, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -443*m - 15503. Give p(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024 is divided by 913?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116220?\nAnswer: 2, 3, 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 5058\/5029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(-27)\/(s**(2\/7)*s**(-1\/6)) assuming s is positive.\nAnswer: s**(-577\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17236340, -17236343, -17236346?\n\"Answer: -3*r - 17236337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 678 - 813. Is 2\/(-18) + (-3328440)\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -554.\nAnswer: -11\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -11 - (-11 - -3)) + 98 + -113.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8949490469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12125 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Suppose -5*w + 4*c = 571, 4*c - 21 + 5 = 0. Let y = 107 + w. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfmfam. Give prob of picking 1 f, 1 d, and 1 m.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 5395420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 7*o - 29. Is 19 a factor of v(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/6 + (11\/6)\/11. Solve 4*u - 4*m = -4, -20 = 2*u - 5*m - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172.837966 - 3771.9\nAnswer: -3944.737966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Let q(a) = -3*a - 3*a + z*a - 4 + 2. What is q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.598055ng to micrograms.\nAnswer: 0.005598055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.1 (b) 3\/2 (c) -3\/8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, 5\/306, -1\/6, 0.2, 5\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853141.\nAnswer: 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-3 + -13 + (-152)\/(-4). Sort q, -0.5, 2, 3.\nAnswer: -0.5, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -6, -19 in descending order.\nAnswer: 55, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10952543143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**2 + r**2)*(265*r**2 + 16 + 159*r**2 - 16).\nAnswer: 848*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) -5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - 0.654?\nAnswer: -0.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/159 and -38\/39?\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-2 - 27) + 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r - 1. Give d(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -80901*x - 81052*x + 161838*x. Let y(m) = -4*m + 2. Let s(r) = 21*r - 11. Let v(n) = -2*s(n) - 11*y(n). Determine v(k(g)).\nAnswer: -230*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1)\/(-3) - (-58)\/(-87). What is the nearest to d in -3, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67766 divided by -167?\nAnswer: 67766\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 42. Let t be g(-17). Suppose -5*o + 7 = -t. What is the derivative of 50*z**o - 17*z**3 + 34 - 13 wrt z?\nAnswer: 99*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + sqrt(1539)*1 + (sqrt(1539) - 3*(sqrt(1539) + sqrt(1539) + -1)**2))*3.\nAnswer: -221592 + 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -2. Let i be (((-9)\/4)\/3)\/t. Factor -1\/2*f - i*f**2 + 0.\nAnswer: -f*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30*2\/4)\/1. Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1.41 (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9332 - 430*y**2 + 72*y**2 - 9332 to the form k*y**2 + m + g*y and give k.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54438508 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z + 75 = 0. Let y = z - -29. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 6:43 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539))**2 - sqrt(22)\/sqrt(50)) + 0.\nAnswer: -1617 - sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184800 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32375 - 64848 = -18*m + 62045. What is the greatest common divisor of 89 and m?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210559432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -0.05 (c) 1\/26 (d) 0 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 23*g + 15. Calculate z(-19).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-30)*(-20)\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 200405 divided by -40081?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*f - 23408 = 0, 0 = -4*u - 5*f + 11730 + 6980. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(18) + -4) - (sqrt(14)\/(3*sqrt(7)) + 0)**2*-2.\nAnswer: -12*sqrt(2) + 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409201017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose -4*u + 9*u = -3*n + 172, 0 = 2*n + 3*u - 115. Let w = 63 - n. Solve g*x - 7 = q, -x = w*x + 3*q + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1526 + -621. List the prime factors of o.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23 - 22*c - 137 - 19*c - 9*c + 5*c**2 - 6.\nAnswer: 5*(c - 12)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 133 - 89. Let x = p - -84. Suppose x*o = 3*o + 966. What are the prime factors of o?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16784 + 16783.5. What is the closest to 8 in 11\/18, 5, -1, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:57 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 559.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3846 and -76\/4467.\nAnswer: 5726694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19*k + 123. Let j be f(-6). Let l(r) = -4*r**2 - 7*r + 9. Let h(i) = -i**2 - 2*i + 2. Determine j*h(v) - 2*l(v).\nAnswer: -v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 bigger than 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58 from 2.2.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7063, 7065, 7067?\nAnswer: 7069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*s = -414471, -9*s = 2*l - 4*s - 165796. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + p**2 - p - 1. Let y(o) = 4*o**3 + 14*o**2 - 12*o. Let u(c) = -5*v(c) + y(c). Let b be u(8). Solve -3*j + 4*w = -b, -2*j = j + 2*w + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0173 in -1, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*t = 212*t. Factor -1\/5*h**2 + t - 2\/5*h**3 + 0*h.\nAnswer: -h**2*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489662632 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2*2 + -6 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10781063?\nAnswer: 10781063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6156450?\nAnswer: 2, 3, 5, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1471316 and -103\/30910?\nAnswer: 7356580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.25 - -0.25. Let u = -9.1 - y. What is the nearest to u in -2\/25, 3, -0.2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -277.84, -4, -0.1 in descending order.\nAnswer: 0.5, -0.1, -4, -277.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/2 + (-24)\/16. Let m be (-2)\/(-1) + b\/20*4. Solve 0*j - m*o = -j + 6, -3*j - 4*o - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2137 and 42.\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 2460816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/3)\/((-14)\/(-84)). Suppose q = 9*s - 14*s. Let p be (-234)\/s - (1 + 5\/(-2)). Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37748 less than -397.292968?\nAnswer: 37350.707032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/181 + 2003\/1086. Let j = 4187\/144 - 269\/9. Calculate the common denominator of h and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 184. Let x = a + 346. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24262 - 24262. Solve s = 25*x + 22 - 222 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87939.43448 rounded to 0 dps?\nAnswer: 87939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**5 + 78*y**4 - 172*y**3 + 128*y**2 - 12*y - 14 = 0. What is y?\nAnswer: -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -91. Let f = 77 + n. What is the greatest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -30 - 23 + 29*m - 8*m - 24. What is the units digit of x(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*6 - (-237 + 77)\/(-20)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15677 - 15677. Let p = 7 + -11. What is the biggest value in r, 10, -0.5, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + (-1 + 0)*5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3014 and 257994.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.47 - 0.53. What is the biggest value in 3, -2, -6, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 1. Let g be t(-2). Let a = 7517\/532 - 280\/19. Let m = 6\/7 + a. Sort m, 2\/9, g, -6.\nAnswer: -6, 2\/9, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 1. Let o be p(-3). Let h = -11 - o. Factor 1\/3*b + 0 + 1\/3*b**h.\nAnswer: b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3)*-1)\/(16 - 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from ngnnhigyhinh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + x**3 + x**3 + (2 - x**3 - 2)*(-2 - 2 + 6) - 3*x**3 + 24*x + x**3 + 3*x**3 as u*x**2 + y*x + m + b*x**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132062528 by 208.\nAnswer: 634916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 211*n + 521 - 3108. Let r(g) = -g**2 + 7*g - 1. Determine r(n).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010011111001 - 110?\nAnswer: -10010011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(52)\/sqrt(4) + -2 - (5 + 5*sqrt(13))).\nAnswer: -4*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 75806.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 12*p - 6*p + 15. Solve -5*d + v = 13 + 12, 3*d - p = -3*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 17*t**2 - 2379*t + 14244. Determine r(6).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = 233 - 172 - 299. Solve 3*h = -p - q, 3*p = -h + 2*p - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/186)\/(54\/189*(-56)\/(-24))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 - 71 + 80 + 4*n**2 with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156952 divided by -2.\nAnswer: 78476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 260?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b + 2. Let j(f) = -911*f + 898*f - 5 - 4. Let c be (2 - 9\/2)*(-4)\/5. What is c*j(h) + 9*i(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**13)))**8)**(-37))**(-5\/14) assuming s is positive.\nAnswer: s**1480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*v**2 - 737*v**2 - 4554*v**3.\nAnswer: -4554*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -3d470?\nAnswer: -3d477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1562 (base 8) to base 11.\nAnswer: -732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102201222 + 1211?\nAnswer: 102210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50420 (base 6) in base 5?\nAnswer: 203021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 19*b - 16*b - 10*b**2 + 43*b + 5 + 0. Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1370 - -3171. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20736 and 522.\nAnswer: 601344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhhjhhhjhhhjhjth. What is prob of picking 1 t and 1 j?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-24)\/(-30))\/(18\/105))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 4 - 8) + (480\/84 - -6). Let o = -145 + 577\/4. What is the nearest to -6 in -0.8, -0.1, d, o?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2234, 8714, 19508, 34610, 54014, 77714, 105704?\n\"Answer: -q**3 + 2163*q**2 - 2*q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiifiiiii. What is prob of sequence if?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4720156737\/3350 - 1409002. Calculate the common denominator of l and -39\/268.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6838*y**2 + 1192*y**2 + 4875*y**2 - 34898*y**2.\nAnswer: -35669*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9872, -2456, -14784, -27112, -39440?\nAnswer: -51768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**4\/4 + 2*j**3 - 7*j**2 - 18*j - 1927. Calculate v(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34457, -137248, -308575, -548444, -856861, -1233832, -1679363, -2193460?\nAnswer: -2776129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8433*d**2 - 6815*d**2 - 31553*d**2 - 7615*d**2.\nAnswer: -54416*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 124, -11991, 5 in decreasing order.\nAnswer: 124, 5, -5, -11991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3956468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -80. Suppose -30 + 9 = -d*c. Suppose z - 31 = 2*g, c*g = 2*g + 2*z - 80. Put g, -0.4, -3\/2, -5 in increasing order.\nAnswer: g, -5, -3\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {d: 4, i: 1, y: 5, a: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2)*2\/(-3). Let r be 5*l*(-1)\/5. Calculate the greatest common divisor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*g + 4*c, -15*c + 19*c - 13 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 6*n**4 - 3*n**3)*(0 + 2 + 0)*(1 - 1 + 2)*(112 - 13 + 77).\nAnswer: 4224*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286847?\nAnswer: 11, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/((m*m**6)\/m)))**(-2\/25) assuming m is positive.\nAnswer: m**(-16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2 - 2 + 1 - 6. Let y be u(-3). Put 5, y, 4 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001012122011 (base 3) to base 15.\nAnswer: -91e134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 12*f - 25984. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*2)\/(sqrt(360)\/sqrt(10)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*w**3 - 1085*w**2 + 2695*w + 5145.\nAnswer: 5*(w - 7)**2*(17*w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-13))\/(3602\/(-70239)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6447726 and -109\/55692?\nAnswer: 1173486132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2628 + 0*o - 36*o - 4*o + 2545 + 4*o to r*o + j and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*q + 34 + 40 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219405 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 28, 4\/7, -0.5, -3 in decreasing order.\nAnswer: 28, 4\/7, -0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 29*q - 754, 0 = -21*a - 19*a - 23*a + 67*a for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5357 + 5631. Calculate the remainder when 831 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -14. Let m = 36 + x. Let a = m + 13.9907. What is a rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1. Let l(g) = -24*g + 7. Calculate -2*d(i) - l(i).\nAnswer: 24*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1695 and 12840190.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11782 - 1.\nAnswer: -11783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 6)*2*(-9)\/(-2). Suppose 3*m = t, 2*c = m + 116 + 95. List the prime factors of c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/17 + 14686*f**2\/17 + 3343732*f\/17 - 3358416\/17 = 0.\nAnswer: -222, 1, 7564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 111*q + 4002 = 149*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9016 + -9015.9. What is the biggest value in k, -0.1, -2.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568034 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 73. Suppose -104 = -h*z + 24. Calculate the remainder when z is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f + 126646 = -97040 - 105138. Does 34 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*a = -101*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*h + h - 3*h)*(-6 + 3 - 1) - 3*h + 5*h - 4*h)*((0 + 0 + h)*(1 + 1 - 6) - h + h + 2*h) to the form i*h**2 + q + b*h and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooaa. Give prob of picking 1 a and 3 o.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 8:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4791.46374s?\nAnswer: 0.00792239375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 62*o**3 + 5*o**2 + 4*o - 1. Let a(j) = -186*j**3 - 14*j**2 - 11*j + 6. Give 4*a(m) + 11*k(m).\nAnswer: -62*m**3 - m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3\/7 + 227*r**2\/7 - 717*r\/7 = 0?\nAnswer: -239\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 6963. Calculate x(85).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**3 - 10*b**3 - 23*b**3 - 9*b**3 - 14*b**3 + 71*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/9304993 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 1280171.5887 to the nearest ten.\nAnswer: 1280170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 6*o**4 - 3*o**3 - 9*o**2 + 3*o + 3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 125 and 85675.\nAnswer: 85800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(33\/30)\/11.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -104*r - 1. Let j(y) = 143*y - 49*y - 94*y - 11*y**2 - 4*y**2. What is o(j(n))?\nAnswer: 1560*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {q: 2, r: 1, v: 3, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppplpppplpp. What is prob of sequence lplp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 0.3, -0.68, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1446533 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3 = -25. Let g(j) = 5*j**2 + 30*j + 7. Does 21 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8828 (base 10) to base 15\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -21 + 157. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16 - -7.16. Let y = a + -7. What is the closest to y in 2\/7, -2, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11103630 - -3023?\nAnswer: -11100604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c*(c*((c\/c**(-3\/14))\/c)\/c)\/c))*c*c)**(-5) assuming c is positive.\nAnswer: c**(-155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/3 + 38278*z\/3 - 15551452\/3 = 0. Calculate z.\nAnswer: -19537, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 3.03. Let h be (10\/25)\/(2 - (-6)\/(-15)). What is the smallest value in i, h, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490298 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 953548.8 decades?\nAnswer: 114425856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 419 + -210. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 528. Suppose 4*g + d = -352. Round g to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -122\/21, -9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 18 + 28 - 13 to the form s*l**2 + x*l**3 + r*l + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-28 - -10 - -10 - -26)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020140 to the nearest 10000.\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j**(-2))\/j*j**(2\/11)*(j*j\/(j**(1\/4)*j))**11*(j**(-2\/15)*j*j*j\/j**1)\/((j*j**(-5))\/j**(-1\/8)) assuming j is positive.\nAnswer: j**(17389\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (-112)\/(-12). Let n = 0 - o. What is the remainder when 19 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 35*x - 26. Calculate j(29).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1804 and 820?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1108887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 5, 1, -5, -242, -4 in decreasing order.\nAnswer: 5, 1, -2, -4, -5, -8, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*x + 558 = 0, 4*x = -2*c + 6*x + 234. Let k = 56 + c. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18252037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f + 3*y - 240 = 0, -2*f = -y - 120. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84864 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Suppose 0 = 5*u - 51 - 14. Calculate the remainder when u is divided by 1\/z*-1*14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-4\/3)\/k))\/k*k**(2\/11)\/k)**(-2\/29))**0)**(-10) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-303)\/90 - -4 - 3\/(-15). Is 1 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(36)\/((sqrt(96)\/sqrt(4))\/sqrt(12)))\/(-1*(2*sqrt(9)*-5 + (sqrt(144)\/sqrt(4) - sqrt(9)))))**2.\nAnswer: 32\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 554, 1087, 1620, 2153?\n\"Answer: 533*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 1 + 2*b**2 + 2 - 7*b + 3. Let t be q(-6). Suppose -4*r + 30 - t = 0. What is the remainder when 19 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*m*y**4 - m*y**2 + 2*m*y - 2*y**4 + 12*y**3 - 25*y**2 wrt y.\nAnswer: -1896*m*y - 48*y + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12)*-2)\/((-12)\/(-27)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 20449?\nAnswer: 306735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-5 + -14) - (-1 + -13) - -9.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/100 and 14\/5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 446*r**3*s**4 - 216*r**3*s**2 - 2*r**2*s**2 - 2*s**4 wrt s.\nAnswer: 10704*r**3*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zww when three letters picked without replacement from zzzkwhkwkkwhkwwhkhk.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, 11161243, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25863757*p**2 - 26376817?\nAnswer: 51727514*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/14)\/(-2))\/(-73*4136\/(-96068))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624\/24 - 10\/(-15) is divided by 3 - (-22 - (6 - 3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/14)\/((-226)\/3955)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-455)\/(-182)*(-3)\/(315\/204)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.514, -3\/2, -4, -0.3 in decreasing order.\nAnswer: -0.3, -0.514, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -17799.3245 to the nearest 10.\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 275 in increasing order.\nAnswer: -11, 2, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013467423 to six decimal places.\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:02 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3044*d**5 - 1821*d**2 wrt d?\nAnswer: 182640*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + -3. Let g = -67.4 - q. Let z = g - -8.39999963. What is z rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5428 + 7026 = -192*s + 19454 for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 times 3?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (144\/(-68) - (-2)\/17). Let o(k) = k**2 - 8*k + 15. What is o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 + -122254?\nAnswer: -121966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3499500 and -131\/111984?\nAnswer: 13998000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 15) to base 7.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977128.\nAnswer: 2, 67, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -14*b - 3*b. Solve -5 - 5 = b*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*c + 5*d + 58, -3*c - 2*d = -87. Suppose -17*z - c - 5 = 0. Let x(l) = 4*l**2 - l + 2. What is x(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 16*m + 9. Let k be a(5). Suppose -4*c + 622 = 22*j - 17*j, k*j - 3*c - 510 = 0. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v\/v**(-41)*v))\/v)\/v**(3\/4))\/(v**20)**(-1\/69) assuming v is positive.\nAnswer: v**(-11443\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -2, 2\/15, 2\/9, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 4, -220, -1 in ascending order.\nAnswer: -220, -127, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.1, -104, 3, -21.6, -0.19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (920*i**2 + 31*i**2 + 4 - 4)*(11*i + 9*i + i)*(-1 - 1 + 3) as x*i**2 + k*i**3 + j*i + f and give k.\nAnswer: 19971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3196 divided by 2\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:07 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*((-170)\/935 + 9497\/22) is divided by 472?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(5)*2) - sqrt(52))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.3, -5, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*n**2 - 3*i**2 - 148*i*n**2 + 421*i*n wrt n?\nAnswer: 4*i**2 - 296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6)*(13\/((-104)\/(-16)) + 4). Does t = -15\/1849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 0\/((-15)\/(-5)). Let r be 7578\/63 + p\/(-14). What is the highest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116*x**2 - 565 + 103 - 386 - 2*x - 46*x**2 wrt x?\nAnswer: 140*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22754 + 4*c**4 + 2*c + 4*c**2 + 22754 in the form l*c**2 + o*c**3 + b + x*c**4 + v*c and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -d + 12*d + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -80. Solve v*s + 4*z + 11 = -13, 5*s + 30 = -4*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 231, -16 in ascending order.\nAnswer: -16, -1, 4, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 - 13 = 8*h. Calculate the remainder when (h\/8)\/((-1)\/(-2)) is divided by 1 + 2*(-1)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 129*t + 97. Let r = 31 - 18. Is w(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/14*(-18)\/(-4). Let b be 2 - 176\/(-140) - (-6)\/10. Factor i*u + 1\/7*u**3 + 9\/7*u**2 + b.\nAnswer: (u + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/(2\/12). Let j(g) = -12*g - 64. Let a be j(-5). Let o(d) = d**2 - 10. Let y be o(a). Put w, y, -2 in decreasing order.\nAnswer: y, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 (base 13) in base 12?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/25)\/((-189)\/(-210))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 3*g**2 - 4*g**2)*(-g + g + g - 3*g - g + 3*g + (0*g + 2*g - 3*g)*(-4 + 3 - 1)).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 687866936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwjjjjwwwwwj. What is prob of sequence wj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 24*m - 11. Let s be x(4). Solve -15 = 5*h + 4*d - 9*d, -4*h + s*d - 15 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 greater than or equal to -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 20. Let v = -32 + a. Suppose v*y - 2*y - 204 = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160.2 - -160. Let m = -2 + 0. What is the nearest to m in 2, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q + 6. Let c be b(4). Let y = -39 + c. Calculate the remainder when 56 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 2, z: 1, b: 1, k: 1}. What is prob of picking 2 j and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1152? (a) 0.0484 (b) 12 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-2)\/(-4))*46\/(-345). Which is greater: b or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 5*b + 0*b + (-36 - 25 + 33)*(-b - 2*b + b) to d + g*b and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 7*y - 29. Let w be b(-10). Is w <= 6\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*j + 37*j + 87*j)*(0*j**3 - j**3 - j**3) + 2*j**4 + 0*j**4 + 0*j**4.\nAnswer: -626*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429124 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 115*u**3 + 375*u**2 + 385*u + 130.\nAnswer: -5*(u - 26)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 1.4. Suppose 4*f = -5*w + 13, 2*f - 9 = -5*w - 0*f. Which is the third biggest value? (a) w (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 18 = -5*t, -9*k + 6*k - 13 = -4*t. What is the biggest value in 5, -6.7, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -13, 158686 in ascending order.\nAnswer: -13, 35, 158686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*c - 96, 2*g = -c - 42 + 222. Let l = -23 + g. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1094880293 to 4 dps.\nAnswer: 0.1095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 24*z**2 + 134*z - 85. Determine v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -51*n + 23*n + 27*n. Let a(i) = -15*i**2. Determine f(a(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/5 - 88*i**3\/5 - 668*i**2\/5 + 1320*i - 2250 = 0. Calculate i.\nAnswer: -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 133*d**2 - 5189*d + 112. Give u(39).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 12:45 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -473\/6, 1\/3, 4 in ascending order.\nAnswer: -473\/6, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 54 + 6. Let t be n\/(-10) - 15\/(-225). What is the nearest to t in 0, 0.04, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8860556 divided by 4.\nAnswer: 2215139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3875.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/894 and 59\/447?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -8346?\nAnswer: -8345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-50)*(-5)\/9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 8 + 8)*(-1 - 1 + 1)*(-k**3 + k**3 - 4*k**3).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3524638*t**3 + 9376*t - 64?\nAnswer: 21147828*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 123*l + 763. Calculate the smallest common multiple of d(-5) and 3.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 45, -48*s - 2*c - 38 = -44*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220121 + 211322033?\nAnswer: 212202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 2*c - 225. Let z be g(11). Put z, 3\/7, -0.69, -4, 0.4 in decreasing order.\nAnswer: 3\/7, 0.4, -0.69, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f\/f**(-1)*f))**(-18)*f**(-2\/7)\/(f*f**(-7\/5)\/f*f) assuming f is positive.\nAnswer: f**(3154\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 + 153 = -13*f. Suppose 10*o = -o + f. Calculate the greatest common factor of o and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966841 is divided by 171.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2. Let t(s) = 10*s**2. Let z(f) = 14*a(f) - 4*t(f). Let u(b) = 2*b**2 + 0*b**2 - 2*b**2 + 7*b**2. Determine z(u(j)).\nAnswer: 98*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 2 - 5*q + 9*q - 1093*q**2.\nAnswer: -1093*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(6\/11)*a)\/a*a)\/(a*a\/a**(-1))*(a**(1\/2))**26*(a**(-1))**(1\/34)\/((a\/(a\/(a*a**(-2\/3))))\/(a**(-6)\/a*a)) assuming a is positive.\nAnswer: a**(5815\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - m - 4*m - 3 + 11*m + 6*m**2 + 2*m**4 + 2 as f*m**3 + z*m + p*m**2 + l + t*m**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-4 - (0 + -1 - (-2 - 8))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12670 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11335\/7002 + 3\/389. Find the common denominator of d and 151\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5\/6*h**3 - 8*h + 0 + 0*h**2 - 1\/6*h**4. Find the second derivative of t(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1693*u. Let d(r) = 2*r + 45. Let x(a) = 10*a + 240. Let g(w) = -16*d(w) + 3*x(w). Determine g(l(c)).\nAnswer: 3386*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 33478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (8 - 2)) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 135. Let v = -1 - 3. Do z and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5 + 13. Sort x, 2, 1.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 158*v + 828. Let h be z(-5). Calculate the greatest common factor of h and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-90)\/(-3))*-3. Suppose 4*w = -5*v + 35, -6*v = -v - 5*w + 10. Calculate the remainder when (l\/21 + 3)*-7 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phsfl. What is prob of picking 1 h and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/5 - 3*s**4 - 77*s**3\/5 + 723*s**2\/5 + 472*s\/5 - 5712\/5 = 0.\nAnswer: -7, -3, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4542290 is divided by 1405?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - 3*a, -u - 4*a - 3 = -2*u. Solve u*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*c**2 - 65*c**2 + 128*c**2 - 19*c**3 wrt c.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4611.038l?\nAnswer: 4611038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5511295, -11022585, -16533875, -22045165, -27556455?\nAnswer: -33067745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 16*o - 15*o + 4*w, -4*o + 181*w - 183*w = 102 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 3, y: 2, n: 6, d: 3}. What is prob of picking 1 d, 1 y, 1 z, and 1 f?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17754 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5. Let u(b) = -2. Let d be (0 - 12) + (68 - 62). Give d*u(x) + 2*k(x).\nAnswer: 2*x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.47416 * -0.0181\nAnswer: 0.008582296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -431*o + 444*o + 8 + 5. Which is the nearest to 0? (a) 0.3 (b) -290 (c) 2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 7*w = -28. Suppose -7 + 61 = 2*j. What is the remainder when j is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -79*r - 2125. Give w(-31).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0064 - 24.9936. What is the second biggest value in -2, 0.4, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0455 <= -120\/3581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 670480.8 tonnes?\nAnswer: 670480800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 152*l - 757. Let b be n(5). Let x(q) = 3*q - q - 3*q - 2. What is x(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 + 139. Let k = -67\/112 - -5\/16. Which is the third smallest value? (a) i (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**6\/120 + k**5\/6 + k**3\/3 + 12*k**2. Let g be c(-10). Suppose -g*w - 2 + 4 = 0. Solve -11 - w = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 0 - (-3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Let c(f) be the first derivative of -2 + f + 0*f**i + 2\/3*f**3. What is the derivative of c(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t + 31. Let a be v(-15). Let j = 41 - a. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0*b + 8*b**3 + 205*b**2 + 0 - 1\/8*b**4 - 13\/5*b**5. What is the second derivative of v(c) wrt c?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 617.1 - 617. Let s = 143\/4 + -36. Which is the biggest value? (a) i (b) s (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*p - 920. What is the nearest to -2\/3 in -1, -1\/5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 6*n + 95. Let k be f(7). Let j = -113 + 213. Suppose k*q = -c + 64, j = 2*c - 3*q - 39. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7172, -29184, -65868, -117224, -183252, -263952?\nAnswer: -359324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 3*d)*(-4*d + 0 + 0) + (53 - 74*d - 53)*(-4*d + 0*d + 3*d).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-78)\/(-8))\/((-84)\/(-112)). Suppose -i*y = 538 - 3008. Is 189 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqoq when four letters picked without replacement from qgqqqqqqgo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8909194 <= 8909125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.3 (c) -1\/2 (d) -3 (e) -1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - q + 38 = 0, 4*q + 12 = a + 2. Let s be a + 2 + -2 - -2. What is the greatest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 - 151*w - 668. Calculate y(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2828871, 2828869, 2828867?\n\"Answer: -2*n + 2828873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16487, -16485, -16483?\n\"Answer: 2*j - 16489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -3, 2\/17, -522, -0.1, -4?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyywdfc. Give prob of sequence cf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1296 and 3444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 41. Determine s(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-4*x + 4*x - 3*x)*(1 - 2 + 2)*(2 + 0 - 4) to r + b*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -2226\/13?\nAnswer: -2226\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27294973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 372*p**2 - 2697*p**2 - 517*p**2.\nAnswer: -2*p**3 - 3586*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t**3 + 5*t**2 - 11. Let n(r) = r**2. Let a(m) = 3*k(m) - 15*n(m). Find the first derivative of a(c) wrt c.\nAnswer: 171*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 16*i - 36.\nAnswer: (i - 18)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:49 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*f - 15 = 5*z + 174*f, -2*z - 3*f = 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 32*k + 10. What is o(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/3, -93, 0.3, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4)*40\/6. Solve 2*v + 0*v = -l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1700) - (3 + -1 + sqrt(17)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3957805431541.300017 + 3957807634059. Let i = -2202519 + g. Let n = i - -1.3. What is n rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) -0.1 (b) -0.4 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**35)\/j**(2\/111)*((j\/j**(17\/4))\/j)\/j**(2\/95))**(1\/5) assuming j is positive.\nAnswer: j**(1379747\/210900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05325319 to four dps.\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84303.\nAnswer: 3, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641352937 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -57*p**3 + 5*p**2 + 6*p + 5. Let b = 25 + -23. Suppose -b = -3*u + 2*u + 5*m, -2*u = 4*m + 10. Is v(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6297 - 6017. What is the greatest common factor of i and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 58591*p + 111. Let f(q) = -14649*q - 29. Calculate -6*c(y) - 23*f(y).\nAnswer: -14619*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 66765366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1688900.1 - -1672176.0968. Let y = m - -16735. Let c = 11 - y. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001165 rounded to 5 decimal places?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 73243 (base 8) to base 5\nAnswer: 1432441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 417289 = -d, -7*d + 10*d - 1251845 = -h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30800 and -107\/2800.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-29)*t)\/t**(4\/3))\/(t*t\/(t**(2\/7)\/t)*t*(t\/t**26)\/t*t) assuming t is positive.\nAnswer: t**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + 320\/56. Suppose 9*t + z = -12. Let f(m) = -2*m**2 - 48*m - 89. Let j be f(-22). Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 1, f: 3, p: 2, i: 5, h: 6}. Give prob of sequence hkpd.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -15978\nAnswer: 83\/15978","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*s**2 + 1788*s - 1786*s + 427*s**2 to the form z + b*s**2 + k*s and give b.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/600 + u**5\/100 + 32*u**2. Find a, given that p(a) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6403445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 7179898?\nAnswer: 14359796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -1. Let u = -34312\/7 - -5015. Let j = 113 - u. Which is the second biggest value? (a) 0.5 (b) j (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1801443 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 2*n**2 - 4*n**2)*(5*n**3 - 5*n**3 + 2*n**3) + (3*n - 3*n + 4*n)*(n**4 - 5*n**4 - 6*n**4).\nAnswer: -42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1127367428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:34 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65311328.\nAnswer: 2, 1021, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 4*o - 3. Let b be p(-3). Is 503 - 16\/(b + 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.579 (c) -1\/34 (d) -167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -217*i**3 + i + 1. What is r(-1)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 1\/674 (c) -3177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 9*s - 13. Let i be h(10). Which is the nearest to -1? (a) -2\/13 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 3809*v**3 - 5720*v**2 + 3812*v.\nAnswer: v*(v - 1906)*(v + 2)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.29 (b) 1 (c) 3 (d) -15925\/4 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 121749728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*r + 49 - 18 = 0, 0 = -4*t - r + 94. Let f(m) = -t - 8*m + m**3 - m**2 + 7*m**2 + 33. What are the prime factors of f(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 1 + (-24 - -20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3558803?\nAnswer: 3558803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*f = -1137, 4*f - 3598 = -4*w - 1294. What are the prime factors of w?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 30970933.\nAnswer: -25\/30970933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 34 (b) -4\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1962*u + 13768. What is v(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1582, 3146, 4716, 6292, 7874?\n\"Answer: 3*l**2 + 1555*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.96188km in nanometers?\nAnswer: 6961880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 11) + -13 + (16 - 9).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(2736))**2 - sqrt(19) - sqrt(19)).\nAnswer: -2*sqrt(19) + 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5589008 - 10153683. Let w = z + 4564675.2400013. Let m = w + -0.24. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-88 - -20 - -11) - -12?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162383 is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-16)\/10)*3*2\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/360 and 103\/508848?\nAnswer: 7632720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -21\/92, 1\/4, 0.4, -1\/5?\nAnswer: -21\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6250, -9954, 0.1 in decreasing order.\nAnswer: 6250, 0.1, -9954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -4*d + 4*k + k, 2*d = 3*k - 150. Let i = -149\/2 - d. Determine g, given that 6*g**3 - 15\/4*g**2 + i*g + 0 - 11\/4*g**4 = 0.\nAnswer: 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/3 - k. Let h(b) be the first derivative of 3*b**2\/2 + 354. Determine h(i(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -2, 5 in increasing order.\nAnswer: -6, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6 - k**2 - 5*k**2. Let z = 378 - 367. Let f(d) = 13*d**2 + 11. Let l(u) = z*h(u) + 6*f(u). Let t(j) = 8*j**2. What is l(t(b))?\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7))**(-5\/3))**43 assuming m is positive.\nAnswer: m**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 404 + 35?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 1050717*z - 6 = -1050719*z, 5*w = -2*z + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 21.9. Let o = -20 + 19. Which is the nearest to l? (a) 1\/4 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 34*g - 1598. Let u be z(47). Let o(h) be the first derivative of h**2 + h - 1\/2*h**4 + 3 - 1\/5*h**5 + u*h**3. Factor o(r).\nAnswer: -(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i)*(1 - 1 - 1)*(-3 + 2 - 1).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-24)\/(-1872)*-342*-13\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let d be s(-9). Let q(g) = -g + 7. Let t(h) = -h + 8. Let i(p) = -6*q(p) + 4*t(p). Calculate the remainder when i(d) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2) + -4)*(-12)\/(-10). Let v = f - -37. Do 34 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 0, 5*k - 37 - 28 + 93 = 5*t + 33 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/56 and 4 + (-5764)\/1078*26\/36?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -514 - -238. What is the units digit of (-5 - p)\/(3\/(-3) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + s)*(4 - 3 + 5) + s - 4*s + 6*s + (4 - 4 - 2*s)*(-4 + 2 + 0) + s + 10*s + 19*s.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6049\/310 + -2\/155. Let j = -19 + m. Is 0.07 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/12)*a**(-10\/3)*a**(-1\/3)*a**24*a)**25 assuming a is positive.\nAnswer: a**(2125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -120, -323, -606?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 70. Suppose 5 = -3*d - k, 5*d - 4*k = -0*k + z. Suppose r = 5*m - 267, d = 5*m + 5*r + 7 - 262. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 165674408?\nAnswer: -165674405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 4. Calculate the remainder when 21 is divided by q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 11 + 46. Let j(n) = 2*n**2 - 8*n + 13. Calculate the remainder when j(10) is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 - 7*y - 6. Let r = 0 + 3. Let n be 0 + (0 - 1) - r. What is the remainder when c(n) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000433988.2 less than -75692?\nAnswer: 1000358296.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 0*c**5 + 3*c**5 + (3*c + 3*c - 4*c)*(-2*c**4 + 5*c**4 + 4*c**4) - 31*c**5 + 112*c - 112*c.\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21275770 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 9 + 144. Suppose 3*n = 5*q - 0*q - f, -4*n = -2*q + 32. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*o - 6, 10*o - 11*o - 21 = -6*p. Which is the closest to -3? (a) p (b) -135 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898783*c**2 - 5 + 4 - 898865*c**2.\nAnswer: -82*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmo when three letters picked without replacement from ogugmggom?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26148*q + 185235 + 1088081 = 199230 - 1488418 for q.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1425\/(-9500))\/((-16)\/40*-8)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 45. Suppose -2*q - 4 + i = 0. Suppose q*w - 8 = 3*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/2)\/(-1 - -2). Let k = 7 + n. Let b = k - -4. Let z(r) = 6*r**3 + r - 1. What is z(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 3*b)*(-3*b - 2 + b**2 - 2*b**2 + 6*b).\nAnswer: 3*b**3 - 9*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24486\/5 or 4898?\nAnswer: 4898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = 8. Let x = 203 + -153. Let j(m) = 52*m - 101*m + x*m + 2. What is j(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4625\/57 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -5, 12, 9 in descending order.\nAnswer: 12, 9, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6069 + 6091. What is the lowest common multiple of 12 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1893*j - 10324 + 10324 - 1343*j to the form u*j + b and give u.\nAnswer: -3236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*n**2 - 15218*n - 5727642?\nAnswer: 44*n - 15218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/279)\/((-193)\/((-52110)\/(-180))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*q - 11, -h = -q - 1 - 0. Suppose t = q*o - 7, 0*o + 3*t - 33 = -3*o. Let c = 607 - 607. Solve -o*v + v - 25 = c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2, 5\/3, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -112295.399 to the nearest 100.\nAnswer: -112300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*t - 0*t + 63, 36 = f + 4*t. Suppose 3*l - 4*r - f = 0, -3*l = -0*r + 4*r. Calculate the remainder when ((-2)\/(-1) + -3)*-6 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135 = 85*u - 140 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -793 + 831. Solve 33*q + 5 = j*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76051, 304271, 684635, 1217143, 1901795, 2738591, 3727531?\nAnswer: 4868615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5754155 = -37*s - 40*s - 44*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/t)\/(t**(4\/5)\/t)*t*t*t**(-1)*t*t*t\/((t*t**(-3))\/t*t)*t*t*t assuming t is positive.\nAnswer: t**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 11, h: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmrrnmmjjvr. What is prob of sequence vtj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.405 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 = -31. Let z = 11 - t. Suppose -l = -z*l + 96. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.7 + 7. Let i = j - -4.753. Let g = i - 0.05234. Round g to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, v: 7, n: 5, x: 1}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3407 + 0.0707. Let f = -3.270358 - p. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n + 90. Determine r(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a**(2\/23))\/a*a))*a\/a**(-16))\/(((((a\/a**6)\/a*a)\/a)\/a)\/(a\/(a\/(a*a**(-13)\/a)))) assuming a is positive.\nAnswer: a**(278\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 5:55 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, t: 7}. What is prob of sequence ttat?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -3, 5, -2, 4028, -1 in descending order.\nAnswer: 4028, 5, -1, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 8828. Let v = r + -13337\/6. What is the common denominator of v and 13\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 28 + (-310)\/(-21)*2\/(-5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -564 - -564.4. Which is the second biggest value? (a) h (b) -14 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 2. Let m be z(-2). Solve m*v + t + 6 = -2*v, -2*t + 3 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 7 + 16 - 7 + 58*f**2 - 15 + 48*f.\nAnswer: 78*f**2 + 48*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**5 + 54*n**3 - n**2 - 3962*n?\nAnswer: -240*n**3 + 324*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.779 and -0.6?\nAnswer: 0.4674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14)*a*a**(-26\/3)*a**(-31)*a*a**(-8\/5) assuming a is positive.\nAnswer: a**(-799\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21835 and 78606.\nAnswer: 393030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 7, -6\/71, 2\/13, -0.9 in descending order.\nAnswer: 7, 2\/13, -6\/71, -0.9, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(70) - (sqrt(70) + (sqrt(70) - 2*sqrt(70)) + sqrt(70))) + sqrt(70))\/(-2*sqrt(5)*-1))\/((5*sqrt(198))\/(sqrt(176)\/sqrt(4))))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2, 3*w + 2*n - 348 = -286. What is the highest common factor of 10714 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 9. Let p be q(4). Let o(x) = x**2 + 2*x - 7. Let m be o(p). Let b(k) = -4*k + m*k + 4*k. Let d(n) = 2*n**2. Determine b(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84271935 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 89 = 29. Let o = -57 - a. Suppose -2*f - 1240000 = -4*f - o*h, 2*f - 3*h - 1240000 = 0. Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 322 divided by 1422\nAnswer: 161\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from ljjjljllrj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10011 + 23012?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1944 - 1225. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/3)\/(5 + (-20)\/5). Find the common denominator of 3\/(-15)*(x - (-722)\/4) and 34\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8159 by 4.\nAnswer: -8159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9334572 = -15*a + 21*a. Is 1\/((-2)\/(-3))*a\/159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let s(a) = a**2 - a + 1. Let w(o) = -o**3 - 2*o**2 + 2*o. Let t(m) = l*s(m) + w(m). Give t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3175 - 3174.7. What is the nearest to -2\/11 in -0.2, -641, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqymqyqggmqqgyq. Give prob of picking 2 y and 2 q.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -87150786 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 11*g + 39. Let p be c(-6). Suppose 4*t - 191 = -5*m + 259, -4*m + 5*t = -360. What is the highest common divisor of m and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = 7*i - 4*g - 6, -3*g - 15 = 4*i + 22 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715583737.\nAnswer: 11, 17, 37, 103423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = -5*a + 5*u, 20 = -5*a - 4*u. What is the remainder when (-3)\/(-1 - a) - -26 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -0.88, 2\/17, -15, 3, 31\/21?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - 0.3. Let m = 0.139696 + z. What is m rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-210)\/315).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3. Suppose 2*w - l + 3 = -4*l, l + 2 = -w. Let f = w - -3. What is the closest to f in -0.5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 - 109 = -3*j, 4*j = 2*f + 168. Let n be (j\/18)\/((-1)\/3). Let y = n - -12. Solve m = -y, -6*m = -2*c - 2*m + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1448 - 205 = -113*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 285 = 5*a, -73*a - 93*a + 170*a + 3*y + 235 = 0 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - (3 + 65))\/(25\/(-12))*-30?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhumbzuzukkzbhb. Give prob of sequence ubm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 2. Let t = -328 + 500. Let n(w) = -t + 342 + w - 172. Calculate 4*m(g) + 3*n(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/3))**(-2\/3)\/(c**(-1)*c)**7)\/(((c**(-1)*c)\/c*c)**(-2\/31)*c**(-2\/11)\/c**(1\/7)) assuming c is positive.\nAnswer: c**(-391\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let u(c) = -c**3 + 4*c**2 - 3*c + 2. Let g be u(3). Let f be (-21)\/9 + g - 0. Is f at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:24 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + y = 1 + 7, 3*u - 3*y = 0. Suppose -3*t + u*t = 4. Let v = t + 20. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -95, -211, -365, -551, -763?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - -7) + -4 + (-2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p\/(p**2*p)))\/p)\/p*p)**(2\/33)*(p**(1\/4)*p*p)**(6\/5) assuming p is positive.\nAnswer: p**(971\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5081 or 15?\nAnswer: -2\/5081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, and 1 h when three letters picked without replacement from iqhihvozvqqiovhv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226968137.\nAnswer: 11, 863, 23909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5\/2, 1\/8, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*t + 5*t - 64, -100 = -5*k - 5*t. Solve -2*b + 5*f + 1 = -6, 3*b = -2*f - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j**2 + 4*j**2 - 2 + 2*j**2 - j. Suppose 0 = 15*n - 11*n - 96. Suppose -24 = -4*g - n. Determine l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 7 = t. Calculate the remainder when 89 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/7)\/m)\/m)**32\/(m**(-4)\/(m*m**(-1)\/m)))**(-22) assuming m is positive.\nAnswer: m**(5874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7718 and 5338?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001000 (base 2) to base 12.\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*x**2 - 12722*x**4 + 12757*x**4 - 4 + 20*x + 115*x**3 + 4 = 0. Calculate x.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77919 and 11499204.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 14. Let j(s) be the first derivative of -s**4\/4 + 7*s**3\/3 - 7*s**2\/2 + 9*s + 2. Calculate j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.01, 4, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 2:30 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/3 + 69728*a\/3 + 23242 = 0.\nAnswer: -34863, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = w - 1, 1 = 2*w - w - 4*j. Let s = -147737 - -147765. Sort s, w, 5, 3 in decreasing order.\nAnswer: s, 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*((m\/(m\/m**(6\/11)))\/m)\/m)\/(m\/(((m\/m**(-1\/9))\/m)\/m)*m) assuming m is positive.\nAnswer: m**(-232\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 40*f)*(2 - 6 + 5).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -9, -15, -33, -69, -129, -219, -345?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1629 or -2?\nAnswer: -1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 5*t - 22, 238*t - 242*t = d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*o = -3, 2*o + 2*o = 4. Which is bigger: j or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -252598633, -252598635, -252598637?\n\"Answer: -2*c - 252598631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*q + 469*q**3 - 487*q**3 + 126*q wrt q.\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iai.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 4*a + 5. Let b be q(-3). Calculate the greatest common divisor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o. Let b(t) = 10*t**2 + 4*t - 15. Let s(w) = -b(w) + 4*h(w). Let z(u) = -1. What is -s(k) - 15*z(k)?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4) + (-11 - -6 - 12) + -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/30 + 23\/10. Let u = 1.94 - -0.06. Let o = u + -3. Sort 0, w, o in descending order.\nAnswer: w, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67486 - -67517.981. Let j = -0.019 - y. Let o = 32.045 + j. What is o rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfnn when four letters picked without replacement from {n: 2, r: 2, b: 7, e: 7, f: 2}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170 - -11 - (-1 + (1 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*f**2*v**2 - 160406679*c**2*v**3 - 239*c*f*v**3 - 4*c*v**3 - 2*f**2 + 4*f*v**3 - v**3 - 1587*v wrt c.\nAnswer: -2*f**2*v**2 - 320813358*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/15)\/((-12)\/(-30)). Let u(y) = 4*y - 4. What is u(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 + 6 = 0, -12 = -5*d + 3*y. Suppose 2 = -c - d. Sort 3, c, -2\/11 in descending order.\nAnswer: 3, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -34. Let o = 26 - x. Let m be 1 - -2 - (o - 20). What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 195*b**2 + 3069*b - 3267.\nAnswer: 3*(b - 1)*(b + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 15 = a + 3, -4*x = -4*a + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116322 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*j**2 + 90*j**2 + 128*j**2 + 103*j**2 in the form m*j**2 + c*j + i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 times 917341?\nAnswer: -11008.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1827529069 to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9375, -18760, -28169, -37614, -47107, -56660, -66285?\nAnswer: -75994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(108) + sqrt(108) - sqrt(108).\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 10831 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*p + 5 = 0, 4*p + 0*p = -2*a + 26. Suppose -2*w = a*w - 2097. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -29*z + 16. Let x be t(4). Let q = x + 99. Which is greater: q or -4\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -3\/2 (b) -1\/2 (c) -0.4 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o)**(-45) assuming o is positive.\nAnswer: o**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8*(-24)\/(-21). Which is the closest to 1? (a) d (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23289 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-40)*-2)\/(4\/16).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0223607 or 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 13 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261077455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 5*r - 92, 4*l - 5*r = 116. Let q(h) = h**3 + 4*h**2 - 12*h - 2. Let t be q(-5). Let n = t - 17. What is the highest common factor of l and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -116332.\nAnswer: 1046988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s + 4 - 5 + 0*s**2 + 4*s**2 - 2. Let x be q(-2). Let c = x + -1. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 7 + (14 + 2 + -12 - 1)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -21. Suppose 2 = -4*p + b. Solve 0 = u + p - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1267 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 2*r - 6*r**2 - 44 - 2*r**3 + 110 - 54 + r**3. Give x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/85782 and 17\/116058?\nAnswer: 1972986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342635 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56943, -450685, -1519413, -3600621, -7031803, -12150453, -19294065, -28800133?\nAnswer: -41006151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -319, -607, -857, -1063, -1219?\n\"Answer: s**3 + 13*s**2 - 334*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 18*c**2 - 114*c + 162. Determine z(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34306 is divided by 5712?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 777, 1752, 3117, 4872?\nAnswer: 7017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*p + 28 = 0, -260413*q - 126*p - 1006 = -260411*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -17*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + -2 + 16 + -11 + -17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -54?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6869534?\nAnswer: 2, 7, 71, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 4*i**3 + 3*i**3 - 6)*(3 - 2 + 0) + (0*i - 2*i - i)*(-4 + i**2 + 4).\nAnswer: -i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*z - 1267 - 10574 - 6103 - 1955 = 0 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let z(u) = -7*u - 13. Let h(t) = 2*w(t) + z(t). Let f(a) = a + 2. Determine 11*f(j) + 2*h(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)*-6)\/(2*sqrt(300) - sqrt(3)).\nAnswer: -18*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34456216, -34456214, -34456210, -34456204, -34456196, -34456186?\nAnswer: -34456174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d. Let v(l) = 5*l**2 + 4*l + 7. Let c(y) = -4*p(y) - v(y). Let q be c(-7). Let r(a) = -a**2 + a + 33. Is r(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 6) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5528 + 5565. Calculate the remainder when y is divided by 20\/((-3)\/(0 - 3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-49))\/(15\/((-1155)\/(-22)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001646442 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/4, -50, -0.2 in descending order.\nAnswer: 0, -0.2, -3\/4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, -0.3, -2596, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -4 (b) 1\/4 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -102001221 (base 3) to base 7\nAnswer: -32350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035448*d = 1035507*d + 4307 for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k - 74. What is b(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 42196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31610.1, -2, 12 in increasing order.\nAnswer: -31610.1, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-87)\/(-6)*(8 - 7) + (-28)\/2. Solve -12*k - j*k**2 - 22 = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -0.6, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6355*b**5 - 26*b**4 + 12*b**2 - 16872*b wrt b?\nAnswer: 381300*b**2 - 624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51345251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3) - 2 - -2. Let h be -1 + 3 + c\/(-2). Is -2*(237\/(-6) - h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - w**2 + w**2 - 2*w**2 - 3 + 3 + 2*w - 2*w - 2*w**2 + (-2*w**2 - 2*w + 2*w)*(-1 - 4 + 3) + 0 + 2*w**2 + 0 + 27*w**2 - 13*w**2 - 11*w**2 + 2*w.\nAnswer: 7*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 + 154. Suppose -3*w = -5*r - 11, 5*r + p - 1 = w. Let z(n) be the third derivative of -3*n**5\/10 + n**4\/24 + n**3\/6 + n**2. Determine z(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 99 = 119 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 48*o + 196. Let r be p(-4). Suppose 2*m + 44 = s, 6*m - m + 131 = 3*s. Let z = s - r. Which is the nearest to z? (a) -0.3 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -262.7 (b) -4\/307 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*g + 2*l, 7*l - 4*l = 5*g + 57. Let m be (-4640 - (6 + g)) + -3. What is m rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, v: 1}. What is prob of sequence tv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415164?\nAnswer: 2, 3, 29, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m - 11*m - 6*m + 43*m - 17*m + 1437*m**2 in the form w*m + s + c*m**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -675 divided by -5?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-28)\/(r\/(r**(-3\/7)*r)))\/(r**6\/(((r*(r**(-19)\/r)\/r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-388\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from eeeb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1048 and 2465328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 7*y**2 - 23*y + 140. Let q be a(8). Suppose 3*k = 7*k - p + 5, 3*k - 2*p = -10. Solve -17*z + q*z - 6 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5058 + 5078. Let a = -18 - -14. Let z(s) = s**3 + 5*s**2 + 2*s - 4. Let h be z(a). Put h, -2, n in descending order.\nAnswer: n, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9312 + -6225. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6962\/7*b - 118\/7*b**2 - 2\/21*b**3 - 410758\/21.\nAnswer: -2*(b + 59)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**7\/210 - g**5\/12 + 5*g**2\/2 - 3. Let x(j) be the second derivative of p(j). Find the third derivative of x(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(196))\/(sqrt(2) + sqrt(2) + 3*sqrt(8)\/sqrt(4)).\nAnswer: 7*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -5*n**4 + 4585*n**3 - 1034910*n**2 - 7442820*n - 6403320 = 0.\nAnswer: -6, -1, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 4*l, 4*y + 0*y - 5*l - 4 = 0. Let v be y\/2 - (-9)\/2. What is the second derivative of -4*o - 3*o**5 + 2*o**v + 3*o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1 - 6 - (-5 + 8)) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 take away -4289?\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101388839 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*h + 1)*(-181*h + 243*h - 475*h).\nAnswer: 2065*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w = 77*w - 77 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1700*i**2. Let b(j) = -22*j**2. Give z(b(c)).\nAnswer: 822800*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -2.41999\nAnswer: -29.03988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8063 - -8186. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i**2 + 2*i - 4. Let n be w(-5). Let a = 1156 + n. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:57 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.46.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by 46.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95a3c (base 13) to base 11.\nAnswer: -174760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -29. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220122878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.014 + 11. Round s to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -0.12\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 divided by 51?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 1\/2*q**2 + 1\/390*q**5 + 0*q**4 - 1\/39*q**3 - 3*q + 0. Let t(c) be the first derivative of a(c). Let t(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -1, -42, -2, 0, 1.\nAnswer: -80, -42, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -147, -228, -315?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*t + 11, -517 = 5*f - t. Let g(u) = -u**2 + 12*u - 15. Let j be g(13). Let y = j - f. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13398773417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -40, -48, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {p: 10, y: 3, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b*b*b**12*b)*b)*b*b)\/b)\/b)\/(b\/b**(-11)*b))\/(b**(1\/2)\/(b**(-6)\/b)) assuming b is positive.\nAnswer: b**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -37743*w - 717102. Determine l(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r + 31. What are the prime factors of i(-17)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 31*k - 21*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 353, 801, 1429, 2237?\nAnswer: 3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f*y**3 - 5*f*y**2 - f*y - 2*f - 37*y**3 + 163*y - 2 wrt y?\nAnswer: -30*f*y - 10*f - 222*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-3)\/(-30))*-1. Let y be 135\/36 + 6\/(-8). Suppose y*k = 6 + 3. Which is the third smallest value? (a) s (b) k (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*k - 22, k - 14 = -3*o + 5*k. Let h(s) = s**2 - 9*s + 7. Let c be h(o). Let m = 21 + c. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 149*i - 229. Let y be a(-76). Put 4, y, -12, -2 in increasing order.\nAnswer: -12, -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 8 - 19. Let i be h\/((-315)\/10) - (-1)\/28. What is the closest to 0 in 0.7, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 650\/14 - (-4)\/7. Suppose b - 380 = -3*d. Let o = d + -6. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j - 1. Let p be s(-1). Let o = 14 + p. Solve -4*f = 2*d + 6, o*d = 4*f - 10 - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 133 = -8*v + 5*j, 2*v = -4*j - 34. Let g = 31 + v. List the prime factors of 263\/g + 2*(-21)\/56.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 3*f - 42028. Let g = -1815 + f. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31439\/8 + 51\/408. Calculate the greatest common factor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -20 + 11 + (-9 - 4) + -76 + -4\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 189.\nAnswer: -4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371\/106*(3 + -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 11:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 2*r**4 + 6*r**4)*(55*r - 2878036 + 2878036).\nAnswer: 110*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069652 rounded to the nearest ten thousand?\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129635 and 1913884?\nAnswer: 105263620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/135 + u**4\/108 - 2*u**3\/9 - 87*u**2. Factor m(s).\nAnswer: 2*(s + 2)*(2*s - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m - 4*m + 3*m + 0*m. Let b(g) = 6*g. Give -b(w) - 10*h(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 10*p - 15. Let h be k(-6). Let j = -4 + 2. Let o = j + 1.94. Which is the third biggest value? (a) h (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, c: 14}. What is prob of picking 2 c?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/220)\/(-7)*60\/24.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/752 and -29\/16?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 + 48*n**2 - 20*n - 5. Let h(d) = 11*d**3 + 58*d**2 - 20*d - 6. Give 5*h(b) - 6*x(b).\nAnswer: 13*b**3 + 2*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 + -3) - (78 - 80).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 - 7*k. Let d be y(-5). Let s = d - 347\/6. Find the common denominator of s and -53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 10 = 3*k + 10*c, 8 = -2*k - 4*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9*(-49)\/(-126))\/((-1)\/1650)?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let a be d(1). Let z be (6 - 3)\/(a\/1). Let f = -7264 - -7263. What is the second biggest value in z, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*l + 16 + 1, l - 25 = -5*h. Let k be 12\/(-8) - (-63)\/2. Suppose 6 - k = -3*j. Solve -j = l*o + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 4 + (-4 - 6) + -2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k - 50. Let c be p(9). Let q = c - -153. Determine d, given that -3\/2*d**q + 3\/2*d**2 + 3*d + 0 - 3*d**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 8*b**2 + 3*b - 20. Calculate s(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 201*15\/18*4\/(-10). Let f = -62 - r. Solve 2*n - 4*o + 12 = 0, f*o = n + 2*o + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 35?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-30)*(43 + 2). Solve -8*x + d = -13*x, -v = 5*x + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/3)\/p)\/p)\/p**(-2))**(-38)*(p*p\/(p\/(p**(-4\/3)*p))*p**(-7))**(3\/13) assuming p is positive.\nAnswer: p**(437\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -48162295?\nAnswer: -48162295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 558*s + 6256*s - 5404 - 219458 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.073 and -2601.12.\nAnswer: -189.88176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 13310?\nAnswer: -13312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*r = -0*o + 1374, -684 = -2*o + 3*r. Suppose -o - 195 = -5*p. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 4 = -20*d. Suppose 8*x = d*x + 36. Solve -f = f - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + sqrt(204) + (sqrt(204) - sqrt(204)*-1)*-5 + sqrt(204))) + sqrt(204)*-3*3)\/(2*(sqrt(300)*2 + sqrt(300))*-4).\nAnswer: sqrt(17)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 2\/289 (c) 5 (d) -3\/8 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 40268 + 31202 = 0. Suppose -5*y + v = -3*v - a, -828 = -2*y - 4*v. What are the prime factors of y?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8288 and 102364496?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 13*m**4 - 8*m - m**2 - 21*m**4 - 5*m + 18*m to the form p + g*m**2 + u*m + c*m**3 + h*m**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(((-13)\/39)\/1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -7 - 2\/51*v**3 - 18\/17*v - 6\/17*v**2. Factor p(n).\nAnswer: -2*(n + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 221 = -67. Is ((-3)\/4)\/(6\/s*-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 5*f - 5. Let g(p) be the first derivative of -5\/3*p**3 - 6*p - 2 + 3*p**2. Give 5*g(i) - 6*s(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/1440 + t**5\/480 - t**4\/48 - 11*t**3\/6 + 2*t. Let q(s) be the second derivative of l(s). Solve q(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/280*-8)\/((-12)\/210)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + b + 0 = 1, -4*j + 3*b = 10. Let w = 0.8 + 0.2. Suppose -4*z = i - 3*z, -3*z - 28 = -4*i. What is the nearest to j in w, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*k - 15, -8 + 16 = k + 4*a. Put -20, 0, k in increasing order.\nAnswer: -20, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -11 + 24)*1\/(-3). Let d(f) = -f**3 - 3*f**2 + 3*f + 13. What is the remainder when 20 is divided by d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10797 is divided by 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 8*q**2 + 5*q + 4. List the prime factors of d(6).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 188*p + 18 - 91*p - 98*p. Let r be s(6). Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*4906\/23595 - (-16)\/(-312)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 6*i**2 + 5*i + 4. Let r be t(7). Suppose -3*q + 23 = -r. Which is the third smallest value? (a) q (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1540 + -1539.261. Round p to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, m: 5, v: 1, i: 1, r: 2}. What is prob of sequence ric?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:29 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5907 - -1.0178. Round x to 2 dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 33. What is the units digit of x(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290\/3 - ((-7)\/3 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -113, -168, -225, -284, -345, -408?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + h + 3*h = 5, -4*i + 3*h - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -625 + 620. Let b = -0.03 - 0.07. What is the closest to 0.1 in b, j, 1.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 2 c when four letters picked without replacement from {g: 1, b: 5, y: 1, o: 2, d: 5, c: 6}?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3354)\/(-21) - (-4)\/14. Suppose -6*x + 1 = -17. Suppose 3*u + 126 = 3*w, 0 = 4*w + u + x*u - k. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -o + 8, 0 = -0*o + o - i - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 3*h**3 + 3*h**3 + (3*h**2 + 5*h**2 - 5*h**2)*(-3*h + 2*h + 0*h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*u + 24 = 0, 9*g = 11*g + 3*u + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*o - 6*o + 98, -5*i = -10. What are the prime factors of o\/(-42) + 5356\/14?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 57 = -z + 4*b, z - b = 171. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 7*v**2 - 6*v**2 - v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:16 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*z + 139*z - 145393 = 208*z - 118258 for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17779953371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23010 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9528 + -9524. What is the fourth smallest value in -8, 4\/7, r, 0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 207*n - 258. Is r(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 20498*s**3 - 164*s - 10?\nAnswer: 24*s**2 + 122988*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8332, 16651, 24980, 33325, 41692, 50087?\nAnswer: 58516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w - 153 - 349 = 233*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 614*g + 93*g + 357*g - 8.\nAnswer: 1064*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785114868 a multiple of 2546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 212606\/7, 0.2, 2\/125?\nAnswer: 212606\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.13 (b) 0.71 (c) -0.12 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*u - 2, 31 = 3*g + 5*u - 7. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 161208.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(1\/8)*j**(-4\/7)*j**(8\/3)*j**(-10\/13) assuming j is positive.\nAnswer: j**(7537\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/27*(-2)\/(-145)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236.99996331 + 237. What is b rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -54, -56?\n\"Answer: -2*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446 - -772. Let j = 414 - n. Is j a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219142835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 2. Let v(j) = -11*j - 15*j + 41*j - 18*j. Determine i(v(g)).\nAnswer: -30*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20087 + -20087.051589. Round n to three decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 34. Calculate v(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1173871 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14320 by 5.\nAnswer: -2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(700)))**2.\nAnswer: -320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97851*c + 131*c**3 - 129*c**3 - 195706*c + 97855*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28006288 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 121, 462, 1001, 1744, 2697, 3866, 5257?\nAnswer: 6876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -8. Let q = -15 - o. Let f = -30 + q. Sort f, 1, 0.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53425\/63 + -848. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 177\/118*(-36)\/(-54)*-99?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 454*h + 319*h**2 - 648*h**2 + 327*h**2 to the form m*h**2 + v*h + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**6 - 4*n**5\/5 + n**4\/2 - 1. Suppose k(c) = 0. What is c?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/3 + 2*i. Let b(q) be the third derivative of -q**5\/60 - 2*q**2. Determine b(w(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28716465 by 5.\nAnswer: -5743293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o - 11*o + 17*o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1547 - -2819. Let o = 1272.5 - a. Let h = -46 + 33. Sort -5, h, o in decreasing order.\nAnswer: o, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, b: 2, m: 7}. What is prob of sequence mb?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 2*z - 49, 0 = -3*j + 4*z + 53. Suppose 7*f + 3*f - 11*f = 0. Suppose m = -2*a + 16 - 7, f = -2*m + 2. Solve -a*t - t + j = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + 366 + 0 + -4. Suppose 8*s - 3524 - b = 0. What is the common denominator of 73\/18 and (1 - -1) + s\/(-64) + 0?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:46 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-208)\/(-7) - (-4)\/14. Is (-1)\/(y\/33 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*j + 3*g, -j - 4 = g - 19. Suppose j = 4*n, -2*u + n = 10 - 5. Which is smaller: u or 3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538227421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -7 + (-1 - -20) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {u: 3, a: 1, j: 1, x: 4, b: 1, s: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**23)**50\/(((g\/(g**(-45)*g))\/g)\/g**(-32)) assuming g is positive.\nAnswer: g**1074","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -513 and -6660\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Suppose 0 = -0*f + 4*f. Suppose -4*y = n*u - 2269828 + 31069824, f = 5*y - 2*u + 36000002. What is y rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5207262 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let c be ((-9)\/18)\/((-1)\/2). Let l(s) = -m*s + 5*s + 0 - c. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624628.\nAnswer: 2, 156157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 5*r = 13*t - 18, t - 12 = 4*r. Factor 36*f + 38*f + 94*f - t*f**2 - 1764.\nAnswer: -4*(f - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196.577 + 0.9.\nAnswer: 197.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23516346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -4 - sqrt(208))*3 + 4)**2 + 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 21*m**2 - 16*m + 125. Let x be s(-20). Solve -40 = -53*y + x*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z + 20. Let k(o) = o - 5. Let f be k(5). Does 2 divide d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 94. Let p = -69 - o. Solve 3*x = p*x, 3*x + 20 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 0*k - 2*k)*(k**2 + 5285*k - 67 - 5285*k) in the form q*k**3 + w*k**2 + l + c*k and give c.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 29. Suppose 4*k - 5*h = 413, 5*h - 2*h + 207 = d*k. Suppose k = 14*j - 10. Solve j + 7 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1330*o - 460*o + 1385*o + 1401*o as u*o + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 38 - 21 + 60.\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6172279 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27743 and 458007.2.\nAnswer: 485750.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t**3 - 1)*(-1 + t**2 + 1) + t**5 - 7*t**5 - 7*t**5 + 3*t**5 + 2*t**5 - 3*t**5 + (t**4 + 0*t**4 - 3*t**4)*(0 + 0 + t) + 0*t**5 - 3*t**5 + 4*t**5.\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300141 - 300144. Let z(q) = 4*q + 2 + 4*q**2 - 2*q**2 + 0. Calculate z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 3*c**2 + 2*c. Let i be d(-3). Is (6 - (-185)\/(-30)) + (-3535)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - o**5 + 18*o**3 + 3*o**2 - 16*o**4 + 4*o + 26*o**4 + 11*o**2.\nAnswer: 2*o*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 + -6.5. Sort 1, 6, z in descending order.\nAnswer: 6, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4169 divided by 5\nAnswer: 4169\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 16*f - 17. Suppose -t + 5*t = o + 59, t - 26 = -2*o. Let b be l(t). Let w = 10 - b. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 less than -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j**2 + 8*j - 23. What is z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 u when four letters picked without replacement from {d: 3, c: 2, u: 1, s: 6, r: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36513738011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002879 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386.1 and -5.28.\nAnswer: 2038.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 25. Let t = 2269 - 2288.78. Let o = a + t. Round o to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -54*k + 14. Let j = 144 - 142. Let b(u) = 18*u - 4. Let m(a) = j*w(a) + 7*b(a). Let d(y) be the second derivative of -y**4\/12 - 2*y. Give m(d(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*k**2 - 951*k - 8*k**3 - 311*k**2 - 912*k + 1863*k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/5 >= 0.76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 2609 - 3469. Which is bigger: x or 597\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26595.116 - -26541. Let n = 0.116 + o. Let b = 53.999916 + n. What is b rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107075180.\nAnswer: 2, 5, 11, 53, 439, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884967.3um to centimeters.\nAnswer: 88.49673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-273840)\/(-2) - (5 + -4). Suppose 3321346 - 690430 = -36*s. Let g = s - f. Round g to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - m + 594, 3*c + c - 471 = -5*m. List the prime factors of c.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + m + 5 = 4, 5*g = 3*m - 5. Let p(o) = -11 - 2*o + 5*o - g*o + 0. Calculate p(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793672?\nAnswer: 2, 11, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -0.2, -2, -140, -96, 0.1 in increasing order.\nAnswer: -140, -96, -38, -2, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 111*y - 5*y + 5 - 2 + 146*y - 1. Let w(n) = -2*n**2. Give w(o(t)).\nAnswer: -127008*t**2 - 2016*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0596 and -3.\nAnswer: -3.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38555, -69997, -101439?\nAnswer: -132881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(77)*-1 - sqrt(77) - sqrt(77))*-5)\/(sqrt(55)\/(sqrt(5) - sqrt(125)))*-4*-5 + -1)**2.\nAnswer: 2400*sqrt(7) + 10080001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 5*d + 5. Let x be y(-5). Suppose -10 + 25 = 5*b. Sort 4, b, x.\nAnswer: b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 825\/(-231)*19\/(570\/24)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684 = 9*c + 648 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*t - 8 + 0 = 0, 0 = -2*t + 8. Calculate the common denominator of 64\/9 and a\/(-8) + 7 + -5.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.424 - -129.424. Let r = z + -130. Let h = 0.21 - 0.2. Put h, -3\/4, r, -0.5 in decreasing order.\nAnswer: h, -0.5, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14595*s + 41738*s + 100589*s.\nAnswer: 156922*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 927914 divided by 180?\nAnswer: 463957\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 8. Suppose -46 + 16 = -5*n. Let x be j(n). Suppose 0 = -4*s + x*s + 80. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 + 3*g.\nAnswer: -g*(g - 3)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*o - 33 + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g**2*j*m**3 + 3*g**2*m**3 - 2*g**2*m + g**2 - 2*g*j*m + m**3 wrt m.\nAnswer: 66*g**2*j*m + 18*g**2*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9525*a**2*v**3 - a**2 + 4*a*v + 120*v**2 wrt v.\nAnswer: -57150*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*a + 52 = 0, -2*a - 1 = -9. Suppose 0*s + s + 55 = 5*i, d = -4*s. Suppose 40*c - 10*c - 180 = 0. Solve c*v - i = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwww when four letters picked without replacement from wwpsw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918057 divided by 2?\nAnswer: 2918057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24050.\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*t + 14 = 0, -5*x - 1 - 1 = 3*t. Let m be (9*x)\/((-33)\/(-154)). Suppose -2*l + 5*s = -0*s - 49, -3*l + 4*s = -m. Solve 5*d = -l + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 (base 9) in base 15?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126720 by 32.\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (5 - (-4 + 1))) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**3 + 4*k - 4. Suppose -6*d = 22 + 2. Let h(o) = o**3 + o - 1. Give d*h(j) + u(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) - (sqrt(2448) - (sqrt(2448) + sqrt(2448) + (5 + sqrt(2448))**2*5)).\nAnswer: 624*sqrt(17) + 12365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583 + 0.178.\nAnswer: 583.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40242\/5 + -8048. Let k(u) be the first derivative of 1\/5*u**2 - 1\/10*u**4 - q*u**3 + 6\/5*u + 5. Factor k(p).\nAnswer: -2*(p - 1)*(p + 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = q, -3*q = 4*d - 5*d + 5. Suppose -d*h - 10 = -0*i - 3*i, i - 8 = 4*h. Factor -1\/2*w**2 + i - 2*w.\nAnswer: -w*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(425) + -1*(2 + sqrt(425)) - ((sqrt(425) + -3)**2 + 2)) + -5.\nAnswer: -442 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y*y**(-2)))\/y))**(5\/7)*y**9*y*(y\/y**8)\/y*y*((y\/y**(1\/2))\/y)**11*(y**(-1))**1 assuming y is positive.\nAnswer: y**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/252192 and -41\/8864?\nAnswer: 69857184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 75 + 33 + 5*a**3 in the form f*a + y*a**2 + v + b*a**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Calculate k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113417 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-6))\/(((-10)\/36)\/5). Suppose 4*c = i*z + 3840 - 731, 3*c - 3*z = 2331. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 14*d**2 + 4. Let v be b(14). Solve -v*i + 4 = u + 20, 2*u - 4*i - 16 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 - 6266042*d\/3 + 696227 = 0?\nAnswer: -2088681, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 58. Let o be c(-13). Suppose -3 = 2*z - 7. Suppose -5*r = -z*r - 12. Calculate the highest common divisor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*b + 6 - 0, 54*n = 1459*b - 1456*b + 51*n + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3897, -15596, -35081, -62340, -97361, -140132?\nAnswer: -190641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1373.6 - -1374. Which is the third smallest value? (a) 3\/4 (b) 2 (c) -1\/31 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 213. Calculate the remainder when 13 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 5*p**2 + 4*p**2 + p**2 - 3*p**2 + (3*p - 6*p + p)*(-p + 4*p - 5*p) + 2*p + 2*p**2 - 2*p + 2*p + 434*p**2 - 28 - 423*p**2 - 26.\nAnswer: 14*p**2 + 2*p - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**3 + 5*q**2 + 6*q + 4. Determine x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(1\/2)\/q)\/q*(q*q*q\/q**1*q)\/q*q)\/(q\/(q*q**(-4)*q)*q**(-11\/3)*q) assuming q is positive.\nAnswer: q**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51\/16 - -409\/48. Let 28*u**3 - x*u - 8\/3*u**4 + 0 - 32\/3*u**2 - 28\/3*u**5 = 0. Calculate u.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16417187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -858*q + 2654. Calculate f(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -297501.341 rounded to the nearest one thousand?\nAnswer: -298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6569743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(80)\/(sqrt(22)\/sqrt(99)))\/(3*((sqrt(8) - -2*sqrt(128)) + sqrt(8))))**2 + 5.\nAnswer: 101\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5. Let w = a + -1. Suppose w*n - 2*n + 40 = -5*d, -2*n + 12 = 2*d. Calculate the remainder when 28 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1188549215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63148, 63150, 63152?\nAnswer: 63154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 503406635 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/11 (c) 0.2 (d) 20 (e) 1\/4 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/((q*(q*q**21)\/q*q)\/q)*q))\/q*q*q**9*q)**(-12\/19) assuming q is positive.\nAnswer: q**(-360\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -45, -80, -119, -162, -209, -260?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 6*h. Let o(r) = 0*r - 10*r**3 - 5*r + 12*r**3. Determine -5*n(u) + 6*o(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 745 = 5*j - 6*j, 980 = 4*m - 2*j. Let i = m - 733. Let s = -269 - i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 10*f + 29*f - 13*f. Let a(w) = -2*w. Give a(c(s)).\nAnswer: 8*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-1 + 24 + -14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -8\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -14*y + 16*y + 1 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-13 + 32 - (0 + 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 2\/11 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/8)*z*z**(-1\/6))**17*(z**(-1\/7)\/z**(2\/7))\/(z**(1\/3))**(2\/3) assuming z is positive.\nAnswer: z**(16451\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2491741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94\/7 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2011 divided by 20\nAnswer: 2011\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4778*y = 1143*y + 35311 + 6136 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 3:53 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 9. Let p(f) = -9*f + 18. Let o(h) = -5*c(h) - 3*p(h). What is the first derivative of o(x) wrt x?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(27) + -4)) + 5 - sqrt(12)\/(sqrt(16)*-1).\nAnswer: -3*sqrt(3)\/2 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 3*g - 3*g)*(0 + g + 0) + 4*g**3 + 15889 - 55*g**2 - 15889.\nAnswer: 3*g**3 - 55*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 252?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(32))**2 + 3).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1869148\nAnswer: -5\/1869148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000193576896 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -5)*(0 - -5). Let u(m) = -2*m - 10. Let g be u(v). Solve -2*j - 3*l = -2, g = j - 2*l - 2*l - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*m**3*q**2 + 11*m**2 - 7*q**2 wrt m.\nAnswer: 1566*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, a: 1, r: 1, w: 1}. Give prob of picking 1 o and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1)*6 - sqrt(228)\/((sqrt(768) - sqrt(768)*-1) + sqrt(768)).\nAnswer: -6 + 1295*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 309 = -5*t, -t + 4*z - 3*z + 69 = 0. Calculate the remainder when t is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -21.5. Let k = g - -6. Let j = -0.8 - -0.9. Which is the third biggest value? (a) k (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Let a(u) be the second derivative of 7*u**4\/12 + u**3\/3 + u**2\/2 + 11*u. Calculate a(z) - 6*c(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from ljjjjljjj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) + (-1*(sqrt(65)*1 - sqrt(65)) + sqrt(65) - sqrt(65))))\/(-4*(sqrt(60)\/sqrt(4) + sqrt(15))\/sqrt(3)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 3*u + 8. Calculate s(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**3 - 8354*n + 6392 wrt n.\nAnswer: 9*n**2 - 8354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1599 and 39228?\nAnswer: 20908524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - y - 1. Let c be b(-1). Suppose k - 4*k = c. Let j(f) = -8*f**3 + 2*f + 1. What is the units digit of j(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + h + 2. Let f be q(-6). Suppose f - 26 = c. What is the remainder when c is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 324, 40, -782, -2322, -4760, -8276, -13050?\nAnswer: -19262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o - 1 = 0. Let p be 1*10 + -1 - o. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.5 + 36.5. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22857 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**5*u + 81*h**4*u**2 - h**2*u**2 + 2*h**2*u + 57*u wrt h?\nAnswer: 360*h**2*u + 1944*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 13. Suppose -116 - 107 = -5*k - p, k = 5*p + 29. What is the remainder when k is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*c + 1005, -2*c + 3*c + m - 327 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from oln?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o = -170 + 359 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2038*q + 2042. Let w be v(-1). Solve 2*i + 6 = -8*d + 7*d, -w*d + 9 = -3*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 2086?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003594969 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30792, -61713, -92912, -124527, -156696, -189557, -223248, -257907?\nAnswer: -293672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-6) - 6)*(-27)\/63?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29.74 and -6021200.\nAnswer: -6021229.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 46658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331678739*-5.\nAnswer: -6658393695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -444150 (base 6) to base 14\nAnswer: -d7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:36 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*d - 14, -2*d - 43 = 5*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -87. Suppose f*i - 5*t = 82, -4*t + 1 = -7. Let c = -21 + i. Solve -c*r + 3 = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.3 - -8.7. Let q = 39.119 - x. Round q to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from nxnnxnnnxnx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-12)*6\/(-4). What is the derivative of 7 - 3 + j + 3*o + o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 54*z - 52. Let a be b(26). Suppose 5*n - 3*m - 5 = 0, -5*n + 4*n + 2*m - 6 = a. Solve 5*l + n*i = -13, 0 = 2*l - 4*i + 2 + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:53 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let f be (1\/(-25))\/((-5338)\/170 + 31). Let b(u) be the third derivative of 0*u**4 + f*u**5 + 0*u + 0*u**3 + 3*u**2 + 0. Give b(o(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 159 - 182 - (-43 + 2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Suppose -3 + 6*f**2 - i*f**2 - 6 + 5 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let x(u) = 4*u. Let m(h) = h**3 + 2*h**2 - 3*h + 3. Let g = -17 + 14. Let b be m(g). Calculate b*p(i) - x(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11360 + 11357. Which is the nearest to 0? (a) -1 (b) 10 (c) 11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72881395.\nAnswer: 5, 41, 355519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 26*a + 290. Calculate l(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - 3 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50688 divided by 2816?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 2, n: 2, d: 4, a: 4, q: 4}. Give prob of sequence akdn.\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1bd (base 16) to base 12\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -69.42. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003355192.\nAnswer: 2, 7, 19, 943003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 219445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33096 = -3*p - p. Let m = p + -4715. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + 28 + -19 + -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -237, -402, -579, -774, -993?\n\"Answer: -t**3 - 158*t - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 14. Let m be w(0). Let i be 15 + ((-1)\/(-1) - -2). Suppose 5*a + i = 53. Calculate the highest common factor of a and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165416 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/24 - i**2. Let g(b) be the third derivative of 11*b**2 - 1\/10*b**5 + 0*b**3 + 0*b + 0*b**4 + 0. Determine n(g(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.072 - 0.072. Let v = -1881 + 1884. What is the biggest value in -5\/3, s, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-9)*252\/1. Let r be ((-3)\/(-6))\/((-2)\/m). Let j = r - 38. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 122 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:57 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 704a + -30?\nAnswer: 701a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 12. Let o be r(3). Suppose 0 = -2*a - 6, -o*m + 335 = 4*a - 850. What are the prime factors of m?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Suppose -5*x = -o*w + 6, 2*w = -4*x - 0*w + 4. Solve 5*q - 5*l + 3 + 2 = 0, x = 3*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + 0 - sqrt(684)*-1 - (sqrt(57)*-2*-6)\/(sqrt(75)*3).\nAnswer: 56*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o + 79. Let a be s(-10). Let n be (a\/(-14))\/(2\/4) - 4. Let u be (2\/(-8))\/(0 + 2). Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 61*x - 485. Calculate m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/2 - 44990*l - 1012050050 = 0. What is l?\nAnswer: -44990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*o + 4*o - 36 = 0, 4*j - 2*o = -30. Let r be -1 + j\/(-4) + 0. Which is the third smallest value? (a) 1 (b) r (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c699d + 30?\nAnswer: c69cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60350 divided by 60350?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14385 + -14380. Solve v*x = h + 8, -20*x - h - 6 = -24*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1425 - -2168. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 266?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627 is divided by 2623.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2434 - -0.0434. What is the nearest to 25 in -1, g, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 - 25 = 0. Let m be 3\/i + (-530)\/(-50). Let t be (-21)\/28 - 46\/(-8). Solve 5*a = 5*c - m, -t*a - 8 - 16 = 2*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 5, 401, 46, -6 in decreasing order.\nAnswer: 401, 46, 5, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572 - 554. Solve -m = -7*m - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.5 (b) 1\/5 (c) -0.8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2283 (c) -2\/11 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9984, -10184, -10384, -10584?\n\"Answer: -200*l - 9784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:47 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20273499 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 26. Let c(a) be the first derivative of -3 + 1\/2*a**j - 3*a. What is c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/522 and -73\/87?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139\/3 - 47. Which is the closest to y? (a) 0.4 (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 0 + ((3*sqrt(405)*4 + -1)**2 + 2)*6.\nAnswer: -1296*sqrt(5) + 349936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.53403 times 0.08\nAnswer: 0.0427224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 21523*p + 215121. Calculate q(-10).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617004*z - 1665 + 1665.\nAnswer: -617004*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(27)\/((2*sqrt(90))\/sqrt(10)).\nAnswer: -3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 12. Let q be r(7). Suppose 4*l - q - 3 = 0. Suppose 3*v - 84 = -l*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0. Let h = 4.408 + -1.408. Put y, -1, 2, h in decreasing order.\nAnswer: h, 2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.441 + 700732\nAnswer: 700736.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-245))\/(4 + (-359090)\/89781). Let u = 2112\/49 + o. Let y = 28037\/7140 + u. Find the common denominator of y and -77\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*a, -a + 11 = 4*v - 4*a. Suppose v*j = -3 - 3, l - 16 = 4*j. Calculate the lowest common multiple of l and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by -176.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5, 1, 3, 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 10:33 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -78. Suppose 0 = 5*t - 0*t. Let l = 10 + t. What is the least common multiple of u and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 23203302442?\nAnswer: -23203303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:14 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158.2 * 4.\nAnswer: -632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -176056 divided by -118?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1146 + 3852 = 26*d + 97*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 + 13. Determine k(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15e9c - -2?\nAnswer: 15e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**3 - 15*m**2 - 27*m + 11. Let a(b) = 3*b**3 + 5*b**2 + 9*b - 4. Let p(g) = 11*a(g) + 4*u(g). Is p(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5468*g**3 - g**2 - g - 284?\nAnswer: 32808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4)*(-4 - -12). Let w = -8 - t. Let o be -2 + w*(-3)\/3. Which is the nearest to o? (a) -4 (b) 1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4554173 divided by -2?\nAnswer: 4554173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 66*z + 290. Give s(-71).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -156 and -34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 11*m - 21. Let t be d(-7). Calculate the remainder when 23 is divided by 1*t\/((-21)\/(-36)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 4. Let y be 2*(6 + 1 + -3). Let c be ((-15)\/10)\/(2\/y). Let j(v) = 2*v + 3. Calculate c*j(o) - 5*x(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 1. Let j be z(1). Let k(b) be the third derivative of b**5\/60 - b**4\/12 - b**3 + 268572*b**2. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02289 - 5.02289. Let k = 3.96 - -0.04. Let m = -3.9 + k. Which is the second smallest value? (a) -0.4 (b) m (c) h (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 10*y**2 + y + 9. Let s be k(10). Suppose -x - j = -7, -6*x + 3*j = -4*x - s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/30)\/((-10)\/(-780)). Suppose -534 + 16823 = t*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -577*y + 20776. What is b(36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 468, 705, 942?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1407, -1414, -1425, -1440, -1459?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7126 and -71\/6?\nAnswer: 21378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2425.3 times 15\nAnswer: 36379.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:52 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l - 3*h, 0 = -4*l - h - 0*h + 8. Let f = 2 + 3. Put l, f, 0 in descending order.\nAnswer: f, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a8a (base 12) to base 6\nAnswer: -11054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -7\/6*j**3 + 3*j**2 - 1\/8*j**4 + 0*j + 0 + 1\/60*j**5. What are the prime factors of g(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217300419 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*k = 170*k + 2*r - 20, 5*r - 23 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -10*x + 0*x**2 + 0*x**4 + 8 - 9\/5*x**5 + 0*x**3. What is the derivative of v(j) wrt j?\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1196)\/8 + 1)\/((-23)\/184) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211852 = 416*j + 147*j - 141712. What is the greatest common divisor of 72 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 4 + 10 = 0. Let f be 0*n\/((-12)\/(-2)). Suppose f = 3*x - 5*x + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5195 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320 + 324. Suppose 4*d = d. What is the closest to d in -3, 3\/8, y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -42*l**2 - 5*l + 94. Let n(k) = 73*k**2 + 9*k - 187. Give -4*n(b) - 7*o(b).\nAnswer: 2*b**2 - b + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 21*u + 1 = 0. Let o be u\/(-4 + (-51)\/(-12)). Is 2 a factor of o\/(-6)*21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -40, 5, 0.3, -6\/11, 0.5 in decreasing order.\nAnswer: 5, 0.5, 0.3, 2\/15, -6\/11, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaka when four letters picked without replacement from xakaaxauxxx.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4\/8*(-4)\/6). Suppose 0*k + 548 = 5*k + g, 0 = -5*k + x*g + 556. Is (1 + -3 - -3)*(3 + k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/10 + h**4\/12 + h**3\/3 - 6*h**2. Let z be a(-1). Are 6 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 68180, 68151, 68122, 68093?\n\"Answer: -29*x + 68209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:11 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5985614 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 + b88a?\nAnswer: b824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9 - 6 = 0. Suppose 0*q = c*q - 3. Let x = 15409\/6 - 2567. Which is bigger: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/5 - 134*v**4\/5 - 1662*v**3\/5 + 1934*v**2\/5 + 1664*v\/5 - 360 = 0. What is v?\nAnswer: -50, -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 41.91, 3\/8 in increasing order.\nAnswer: 3\/8, 1, 41.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w - 2*s, 0 = 4*w + 3*s. Let c = 2 - w. What is the smallest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*n - r, 0*n = n + 3*r + 8. Suppose -n*k = -2*k. Suppose k = -h - 0 + 4. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200 (base 3) to base 13.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w + 24*w - 4*w**2 - 62 + 3*w**2 + 23*w. Suppose 36 - 146 = -5*u. List the prime factors of s(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1807, 1128, 461, -188, -813, -1408, -1967?\n\"Answer: t**3 - 686*t + 2492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -242.38 + 28.06. What is x rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 2201*o**2 + 639145*o\/4 + 161987.\nAnswer: -(o - 73)*(o + 1)*(o + 8876)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -472*z + 328 with respect to z.\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 8:17 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1. Let i(k) = -k + 2. Let y(c) = -i(c) - 3*t(c). Let s be (-2 - 1)*(-15)\/9. Let o(u) = 3*u + 2. Calculate s*y(n) - 2*o(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h + 487. Let q be z(-23). Solve 5*c + v = -13, 4*c + v = -q - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5427900 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**3 - 5*f**2 - 5*f - 5. Let g = -575 + 578. Let w(n) = 5*n**3 - 3*n**2 - 3*n - 3. Give g*d(j) - 5*w(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/153258545 and 38\/485.\nAnswer: 153258545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o + 357 - 357 + (-3 + 2 + 3)*(-o + 3 - 3) + o - o - 2*o - 4*o + 3*o - 4*o as w*o + f and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 10:45 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.8 (b) 3 (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 24*x + 24. Let m be y(6). Let p(d) = 2*d**2 + 6*d - 130. What are the prime factors of p(m)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/841815 and 91\/64755.\nAnswer: 841815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66437*p**5 + 2*p**4 - 9*p - 113128.\nAnswer: 1328740*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2979, -5898, -8713, -11376, -13839?\n\"Answer: 8*d**3 + 4*d**2 - 2987*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 95 + 41 = 0. Solve -d*a + 3*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 790 - 30834*m**2 - 708*m**6 + 30833*m**2 - 264 wrt m.\nAnswer: -84960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10792 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421483*p**3 + 5783*p**3 - 262784*p**3 - 12901*p**3.\nAnswer: -691385*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3903, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {p: 8, o: 4, y: 3, w: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - 7*k - 21. Let r be w(-3). What is the greatest common divisor of r and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 17 = -d, -21 = -8*w + 5*w + 3*d. Let o = -2 - 0. Let f be o\/w - 77\/(-14). Solve -b - 5 - 8 = 5*r, -b + f = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 544*o**2 + 442*o + 2 wrt o.\nAnswer: 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339867 is divided by 533.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**4\/4 + 2*t**3\/3 - t**2 + 3*t - 4. Let g be v(-3). Suppose g = -4*d + 99 + 25. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 4. Let n(c) = -c. Let k(z) = -6*n(z) - t(z). List the prime factors of k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f**2 - 4*f - 3. Let s = -10 + 1. Let g(k) be the first derivative of k**3 + k**2\/2 + k + 1. Let q(d) = s*g(d) - 2*w(d). What is q(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10943 + 26*h**2 + 13*h**3 - 10941 + 32683 - 26*h**2 - 10799.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let u(v) = 4078652*v + 4. What is u(h(q))?\nAnswer: 4078652*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.101 - -0.12. Let m = 0.0941 + -0.0401. Let t = m - n. Round t to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**9\/336 + u**5\/20 - 7*u**3\/3 + 7. Let w(t) be the third derivative of l(t). What is the second derivative of w(k) wrt k?\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(616\/(-42))*(-4)\/(-3). Solve -u*j - 3*j - 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 22 = 9. What is the smallest common multiple of 8 and (d - (-5 - -10)) + 7 - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*m + 2*i, 0 = -4*m - 4*i + 4. Which is the nearest to -1? (a) 3 (b) -2 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (1826\/84 + (-35)\/30)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -i - 3*d - 6, -i = 4*d + 17. Suppose 0*t = t - i. Suppose -2 = -t*n + 13. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4130, -4135, -4142, -4151?\nAnswer: -4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 5*t**3 - 8*t**3 - 6*t**3 + 9*t**3 with respect to t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose -3*z - 64 = -11*z. What is the smallest common multiple of t and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 273*d**3 - 3*d**2 + 821*d - 546.\nAnswer: (d - 273)*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 467, -45, -235, -1 in ascending order.\nAnswer: -235, -45, -1, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127 - -1020325?\nAnswer: 1020176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 5c?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966826 (base 12) in base 13?\nAnswer: 377ba88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/4 - 11*p**3\/3 - 3*p**2\/2 + 24*p - 157. Calculate s(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 2, i: 1, f: 1, m: 1, v: 2}. What is prob of sequence vd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -170*n - 170*n + 339*n. Let f(m) = 735*m**2. Give b(f(o)).\nAnswer: -735*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4192 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445 - 352. Calculate the remainder when ((-8060)\/j)\/((-2)\/3) is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 820 = 31*u. What are the prime factors of u?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309312?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 7 = -4*d + k, -2*k - 10 = 0. Solve 0 = -d*a - 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.38 rounded to zero decimal places?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -459206 - -169206. Round h to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*1\/1*1. Suppose u = 4*f - 10. What is the greatest common divisor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 18553309\nAnswer: -10\/18553309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6 + -3)*(-20)\/(-120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let s(a) = 16*a - 152. Calculate s(l(t)).\nAnswer: -16*t**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 132*d**3 + 36*d - 197*d**3 + 327*d**3)*(3 + d - 3).\nAnswer: -2*d**4 + 36*d**2 - 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5 - d**4 + 345*d**3 - 19331*d**2 wrt d?\nAnswer: -60*d**2 - 24*d + 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -131*i**2 - 25*i**2 + 48*i**2. Let m(b) = 10*b. Give h(m(a)).\nAnswer: -10800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354036759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueuuuukpkkqu. Give prob of sequence kuq.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882867769.\nAnswer: 7, 126123967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - (-1 + -2) - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 divided by 15?\nAnswer: -178\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -493*(27 - 20)*8*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.51 - -0.51. Let w = 12 + u. Let i = 16 + w. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-44)\/12)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*w - w = 44, -32 = 2*a - 2*w. Which is bigger: -100\/9 or a?\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*n + 10 = 3*s, -3*s - 9 = n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + 2 - 4 + 427*w + 6 to b + t*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 18460764.\nAnswer: 36921528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713, 0, 160 in descending order.\nAnswer: 713, 160, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 12) in base 5?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {e: 3, o: 5, w: 1, v: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 124. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/81 - (-1750)\/189. Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(20)\/((6*sqrt(20)\/sqrt(5) - sqrt(4)) + sqrt(4)) + -5)**2 + -4 + sqrt(35)\/sqrt(7) + (sqrt(20)\/sqrt(4)*-6)**2 + 5.\nAnswer: -17*sqrt(5)\/3 + 1874\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1903, -2492, -3081?\n\"Answer: -589*u - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113441 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2*2\/16). What is the second derivative of 2*y**4 - 3*y**d + 0*y**4 + 0*y**4 - 9*y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9487 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -168, 4 in descending order.\nAnswer: 5, 4, -1, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6782331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 25)*(-2)\/(-3). Let m be 4 + (d\/5)\/(-2). Solve 5*j + 0*j = m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {x: 6, o: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 500 + -500.02. Is -3 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*(-2)\/3. Suppose 0 = 5*p - 20, v = 3*k - 5*p - 18. Find the third derivative of 5 + k*w**2 - w**2 - 7*w**6 - 5 wrt w.\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c. What is h(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 44835977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(15\/(-6)))\/(-2). Suppose -2 = -3*b + 4*p, 4*b - 7 = 47*p - 46*p. Put b, -4, m in descending order.\nAnswer: b, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -9. Suppose -217 - 53 = -3*j. Calculate the greatest common factor of m and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59285 and 5680?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let s(j) = 15*j + 2. Give -4*g(q) - s(q).\nAnswer: -19*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*p = -6, -3*p + p = -h + 6. Suppose -8 = -4*k + 4*l, 4*k - 2*k = -4*l - h. Let i(v) = 7*v + 1. Calculate i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(f + 0*f + f) - 2*f - 3*f + 4*f + 24*f + 7*f - 7*f)*(0*f**2 + 3*f**2 - 7*f**2)*(-4 + 9 + 3).\nAnswer: -800*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.4 and -1?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 34 - 18 - 17*z.\nAnswer: -17*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 270? (a) 0.4 (b) 5 (c) 0.24 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 7*o**2 - 7*o + 5. Is 2 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiuifuuiuufufrr. Give prob of sequence iuf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 4. Suppose 9*y = 84 + 87 + 27. Calculate the remainder when g(5) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*a - 4725, w - 274 = 4*a + 653. Let d = -428 + 431. Factor -947*s**d + 2*s**4 - 4*s**2 + w*s**3 + 2.\nAnswer: 2*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrr when three letters picked without replacement from jrrmcmrrmrcrcmcrrm?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 2. Let w be i(9). Let r be -4236 + (2 - w\/(-4)). Let b = -17037\/4 - r. What is the common denominator of b and -53\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 16*v + 47 + 10. Put v, -4, -1, -3, 1 in ascending order.\nAnswer: v, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/2 + 6*v + 10 = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4128, 4137, 4146, 4155, 4164?\n\"Answer: 9*n + 4119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -344*a - 19. List the prime factors of s(-2).\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.183 + 0.117. Let w = x + -59.3000944. Round w to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19854.2 rounded to the nearest ten?\nAnswer: -19850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n - 3. Let x(q) = -2. Let u(g) = 3. Let b(p) = 2. Let d(o) = 6*b(o) - 5*u(o). Let c(a) = -3*d(a) + 4*x(a). What is 3*c(m) + j(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*5 + 8 + -2. Let f(c) = 23*c**2 + 13*c + 12. What is the tens digit of f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*15\/60*4*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10044*l + 2999*l + 11522*l.\nAnswer: 24565*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -20302323103?\nAnswer: -20302323100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*u - 114 = 110*u. Suppose 3*i = 4*f - u + 307, -5*f = 25. Which is greater: 84 or i?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from dztzqzx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870.478 millennia to months.\nAnswer: 10445736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 67 = 4*d, -s - 23 = -2*s - 4*d. Suppose 5*w = 4*w + s. What is the least common multiple of 21 and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*n = 1, 0 = n - 3*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by -233\nAnswer: 299\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a hour in minutes?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 5*p + 1. Let n be w(5). Is (-2)\/6*-105*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*t + 8*t = 9, t - 26 = 5*w. Let d = -6 - -5.5. Sort 9, d, w.\nAnswer: w, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 times 0.147809\nAnswer: -8.129495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523340 take away 2.091462?\nAnswer: -3523342.091462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h, 72*p - 3 = 67*p + 3*h. Solve -3*d = j - 26, p = 5*d + 21 - 56 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(6 - 0). Suppose -4*j + u = -3 + 4, 3*j - 13 = -2*u. Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279266348 take away 9277?\nAnswer: 279257071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:52 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9)\/k**(2\/37))\/(k**2)**(6\/31))**(10\/3) assuming k is positive.\nAnswer: k**(-108290\/3441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 6*c + 3. Let r be f(6). Let m be 1 + (r - 1) - 783. What is m rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11391 and -0.208.\nAnswer: -2369.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -13)\/((-2)\/10). Let k be 206\/10 + 30\/i. Let z = k + -18. What is the third biggest value in -3, z, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-8) + (-307)\/2. Let p be v\/(-6) - (-1)\/6. Suppose c - p = -6. Solve 0 = r + 3*g - 8*g, 0 = 3*r + 5*g + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623360378.\nAnswer: 2, 83, 3755183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = -18*n - 53*n + 440. Let s be (-112)\/(-11) - (-4)\/(-22). What is the second smallest value in s, n, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34510 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 114?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 1001*q + 66 - 1830. Factor -1\/3*r**q - 11\/3 - 4*r.\nAnswer: -(r + 1)*(r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1490, 3027, 4566, 6107, 7650, 9195?\nAnswer: 10742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(171))\/sqrt(9) - ((sqrt(133)*2)\/sqrt(7) + -2).\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*r - 14 + 4 + 5*r**2 - 39*r.\nAnswer: 5*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770623?\nAnswer: 7, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 10. Let z(r) = 24*r - 32. Let s(f) = -16*m(f) - 5*z(f). Let w(y) = 0*y + 3*y - 4*y. Determine w(s(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 455 = -3*a. Let l = 259\/4 - a. What is the nearest to 0 in -2\/15, -0.5, l?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(420)\/(sqrt(36)\/sqrt(3)))\/(sqrt(49)\/(sqrt(7) + sqrt(112) + sqrt(7))) + 3)*6)**2.\nAnswer: 20736*sqrt(5) + 108864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 14.3.\nAnswer: -1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6294 - -27955. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 4. Suppose 20 = -5*l + 2*w, 7*w - 16 = 4*l + 2*w. What is k(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 11*d**2 - 16*d - 3. Let v be b(12). Let g = v - -76. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 10 = 2*h, 23364*h = 23365*h + 2*j - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 12.5.\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11))**(-5\/8)\/(r*r\/(r\/r**4)*r*r**(-5)) assuming r is positive.\nAnswer: r**(-39\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807*i + 6*i**3 - 5*i**3 + 7*i**3.\nAnswer: 8*i**3 + 1807*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + g - 832 = -784, -5*h - 5*g + 52 = 12 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 4*u**2 + 3*u - 1. Let i be c(2). Suppose 3*b = -3*m + 402, -i*m - 290 - 201 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v + 133 + 11 = 0. Suppose 0*g + 500 = 5*g. Suppose 10*n - g = -5*s + 5*n, v*s + 2*n = 84. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 18*d + 1656. Let u be z(46). What is the highest common divisor of 115 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 114 = -120. Let u(f) = 231*f**3 - 2*f**2 - f + 2. Let n be u(p). Round n to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 225 = 1007. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 64 = -356. What is the least common multiple of p and 54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-18)\/1)\/36)\/((-1)\/(-6)))\/(14\/(-126))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**0*v)\/(v\/v**5))**(-3\/40))**(-23) assuming v is positive.\nAnswer: v**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 304 = 106. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 - z + 8. Let q be w(6). Let h(i) = -2*i**3 + 3*i**2 + i - 2. Give h(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*y - 22 + 4, -2*i = -4*y + 24. Suppose -j + y = -4. Let k = -8 + j. Solve 7 - k = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4260*q - 4514*q + 2205*q - 3253*q.\nAnswer: -9822*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1311.35\nAnswer: -524.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**5\/120 + 5*n**4\/24 - 6*n**3 + 24*n**2. Let r(s) be the first derivative of x(s). Calculate r(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*q - 398*q + 17*q + (q + 0*q + q)*(0 - 1 + 2).\nAnswer: -279*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 7300.\nAnswer: 7\/1825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 22*h**2 + 20*h - 17. Let k be p(-21). Solve -14 = -z + 5*u - 0, 0 = 2*z - k*u - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38\/3601 + -4639\/8091447. What is the common denominator of 95\/428 and j?\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(75) + 1)**2 - (-5*sqrt(15)\/(sqrt(5)*2))**2)*-2.\nAnswer: -209\/2 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 6*m - 4. Let k be y(-5). Find the common denominator of (250\/24)\/(-1) - k and -1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2869.5 - 2870. Let m = 19 + -19. Which is the third biggest value? (a) m (b) h (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75627 is divided by 2595?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/29640 and 199\/22230?\nAnswer: 88920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920343 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1802a57 + -2?\nAnswer: 1802a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/5 - 16*u**4\/5 + 14*u**3\/5.\nAnswer: 2*u**3*(u - 7)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/6 - 41*f**3\/2 - 494*f**2 + 6*f - 1. Differentiate r(g) with respect to g.\nAnswer: -4*g - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rooo. Give prob of picking 1 r and 2 o.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 1, i: 8}. Give prob of picking 1 n, 1 i, and 1 p.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48142.25413 - -48142. What is d rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8)*(-12)\/1. Suppose 0 = 3*n - 8 - 67. Suppose -u*p = -11 - n. Solve -y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-456)*-19)\/((-1)\/36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(24\/18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let s be 30\/(-9)*(-63)\/(-35). Let t(n) = 5*n**2 + 6*n. Calculate s*c(y) + t(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000800431252 to 6 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14431939 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 - 14*b**2 + 20*b**2 - 13*b**2.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 778700410 rounded to the nearest one million?\nAnswer: 779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 23\/3 (b) -1 (c) -12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 5*b - 10, -6*z - 8*b - 41 = -11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -699 + 989. Let n = 290.0072 - m. What is n rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232185139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 18*j**2 + j - 16. Let m be o(18). Suppose m*q - 36 = q. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 39*s - 73. Let y be o(2). Which is the nearest to 1\/5? (a) -0.645 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = -4*s. Let r = s - -6. Calculate the remainder when 9\/2*8\/12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 363. Suppose -2*t = 3*t + 4*x - 113, t + 5*x = 31. Suppose 5*j - k - t = 0. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*s + 1359 = -793, -2156 = -5*i + s. Suppose 46*g - i = -18. What is the greatest common factor of 99 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -6. Let q(g) = g + 2. What is the lowest common multiple of z and q(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4818\/91 - -692\/13. Let j = 3 + 11. Let q be 4\/j - (-26)\/(-42). Sort 1, p, 0.3, q.\nAnswer: q, p, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-130)\/8)\/((-4)\/16). Let p be (u\/25*52)\/((-1)\/(-25)). Round p to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 11*z**2 + 19*z + 17. Let h be o(-8). Solve 2*b + 53 - h = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 + 1. Calculate o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61081354*w**3 + 56017*w - 77 wrt w.\nAnswer: 366488124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 27*m + m to the form x + k*m and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6858841, -6858834, -6858827?\n\"Answer: 7*i - 6858848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -2.673.\nAnswer: -3.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4334 divided by 59.\nAnswer: -4334\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1992 and 119\/1494.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 25*s + 11. Let l(k) = 13*k + 6. Let u(n) = -11*l(n) + 6*v(n). Let y(m) = 4*m. Determine u(y(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 284\/42 + 9\/(-21). Which is smaller: b or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 2*m)*(-11 + 3 - 5) + 1 - 1 - 2*m - 38*m - 6*m - 2*m.\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104923173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r - 3. Suppose -k = r*k + p - 24, 3*k - p - 11 = 0. Suppose -v - k*a - 705 = -6*v, 2*a - 135 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from ddhddhhahhhewhad?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-10))\/((-1)\/(-536)). Let x = k + 413. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 16. Suppose g*u = -0*u + 16. Suppose 2*j - u - 28 = 0. What is the highest common divisor of 24 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + (224 - 80) + -56\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541902 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**9\/f)\/f*f**(7\/6))\/(f\/(f*f\/(f\/f**(1\/6)))*f)**(13\/3))**(16\/7) assuming f is positive.\nAnswer: f**(800\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840080686?\nAnswer: 2, 233, 733, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**4 - 6*m + 2. Let v(i) = 11*i**4 - 7*i + 3. Let o(z) = 7*f(z) - 6*v(z). Differentiate o(s) with respect to s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1410570 and 109\/20.\nAnswer: 2821140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*c - 8 = 3*f, -2*c - 20 = -2*f. Suppose -10 = -2*q - 4. Let j(a) = -46*a**2 - 63*a - 1. Let z be j(-1). Solve -l - z = 4*k, q*l = l - f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-37))**(-1\/9) assuming h is positive.\nAnswer: h**(-74\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -141. Let n = -31.6 - i. Sort 0.3, -0.4, n, 1\/2 in increasing order.\nAnswer: -0.4, 0.3, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/6 + m**3\/6 + m**2\/2 + 191*m + 156. Let a(w) be the first derivative of z(w). What is a(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d + o + 5, 10 = -2*o. Solve -4 = -2*g - d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 + 11*p**4\/12 + 4*p**2 - 3*p - 7. Let d be y(-8). Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 + 114 + 60 + 303 + 547*d + 146 wrt d.\nAnswer: 547","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 289503984 and 891330?\nAnswer: 1447519920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p**4 - 33765*p**3 + 11377090*p**2 + 15980640*p + 4569760 = 0.\nAnswer: -1, -2\/5, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109539?\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 11?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 77*z - 493. Let m be l(7). Let y be -2 - (m - -3) - (-27 + 26). Let w = -1\/174 - 341\/1218. Which is bigger: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*(sqrt(19) + sqrt(76)\/sqrt(4)*-5))**2 + -5*2*(-2*sqrt(76))**2)*-1.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, 390\/17 in ascending order.\nAnswer: -1, -1\/3, 390\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.7 + -28.2. Let m = -3.05 - -3. Sort x, m, 0.3 in decreasing order.\nAnswer: 0.3, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = a + 15, -6*l + 5*l + a + 3 = 0. Suppose 3*d + 5*i = 127, -l*i = 1 - 16. What is the remainder when 77 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17485340?\nAnswer: 2, 5, 874267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*b**2 - a**3*b*d - 567*a**3*d**2 + 88*a**2*b*d**2 + 3*a**2*b + a*b**2*d + 3*b**2 wrt a?\nAnswer: 6*b**2 - 6*b*d - 3402*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 763789 a multiple of 533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 13 = -5*k, k + 19 = -5*l - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*((0 + 0 + 3*g**2)*(-4 - 3 + 5) - g**2 - 4*g + 4*g) + 3*g**2 - g**2 - 3*g**2 as f + n*g**2 + h*g and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 812, 1970, 3482, 5348, 7568, 10142, 13070?\nAnswer: 16352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(75) + -1 - (sqrt(75) - (0 + sqrt(75)*1 - sqrt(75)))) + -5)*-4)**2 + -3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 25, -8957, 3\/7, 1\/7.\nAnswer: -8957, -0.4, 1\/7, 3\/7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - u. Suppose 4*s + 3 - 7 = 0. Let h be m(s). What is the derivative of -h*b**2 + 0*b**2 - 1 + 6*b**2 - 5*b**4 wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 902818 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/2, 68, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2.629 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15242, -30478, -45712, -60944?\n\"Answer: p**2 - 15239*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 = 5*z, -4*b + 7 = 4*z + 3. Solve 0 = -z*q - 8, -2*q + 2 = 3*w + 3*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:30 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/363)\/((-2)\/3). Which is the closest to 0.05? (a) -1 (b) p (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n + 165 = 33*n. What is the greatest common divisor of n and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*h = 26, 3*m + 4*h - 685 + 708 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547598357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 4, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 7) + (-5 - (1 + 11))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9092 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -482 - -484. Let l(m) be the first derivative of 0*m - 1\/30*m**6 - 1\/5*m**4 - 1\/5*m**5 + 0*m**n + 0*m**3 - 44. Let l(g) = 0. What is g?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443439239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 83*r - 3. Calculate z(-42).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 138349518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/(-396) + 68\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14469 is divided by 89.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (166 - 163) + (3*1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**3\/3 - 2*y**2 + 2*y. Let i be u(6). Suppose 0 = -5*j + 7 + i. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331.16 + -12.9724?\nAnswer: -1344.1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + 2\/(12\/70). Let c = k + -10. Solve -3 = -2*h + c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3594841807 to the nearest integer?\nAnswer: 59957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/325?\nAnswer: -8\/325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - y**4 + 6*y**3 - 356 + 357 to the form q*y**3 + w*y + l*y**2 + n + b*y**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840589 is divided by 4446?\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 1 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2007389538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 + -2 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -487469.7 and -1.4.\nAnswer: 682457.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 minus -86821515220?\nAnswer: 86821515220.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/38)\/(2\/7))\/(10\/40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-1)\/((-4)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-4 - (-2 + 1 + 5 + -4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 590088144 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/5 + (-4)\/5. Let s = -1 + -4. Which is the closest to -1\/4? (a) -1 (b) s (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by 5.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-3 - (-3480)\/(-1800))\/((-24)\/(-1404)*-1). Factor 15*x**2 + 1369\/5 - 1\/5*x**3 - y*x.\nAnswer: -(x - 37)**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -21 + 3. Let s(w) be the third derivative of 1\/30*w**5 - 2*w**v + 0*w + 1\/3*w**3 + 0 + 0*w**4. Find the first derivative of s(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-30)*1*-3*-3. Let l(t) be the first derivative of 2\/9*t**3 - d + 0*t + 0*t**2. Factor l(i).\nAnswer: 2*i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**3 - 22*k**2 + 16*k - 16. Let b(p) = -2*p**3 - 7*p**2 + 5*p - 5. Let r be 1\/(3\/39*1) - -3. Calculate r*b(n) - 5*i(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 5483250432787 and 363.\nAnswer: 5483250433150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 849.9892 minutes?\nAnswer: 50999352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 386, 870, 1538, 2384, 3402, 4586, 5930?\nAnswer: 7428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 160, 468, 1326, 3016, 5820, 10020, 15898, 23736?\n\"Answer: 47*d**3 - 7*d**2 + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*17\/17*-4*2\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y**2 + 9*y**2 - 14*y**2 - 72*y**2 in the form g*y + s + j*y**2 and give j.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:56 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35561*r - 59723?\nAnswer: -35561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Let u = 0.9 - f. What is the nearest to 0.2 in 2\/7, u, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:00 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 26928 = 777*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a**(-5)*a)*a*a**(-33) assuming a is positive.\nAnswer: a**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqiiqqiqqq. Give prob of picking 3 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271798, 543545, 815294, 1087045, 1358798, 1630553?\n\"Answer: j**2 + 271744*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 246, -33, -3, -408, 4, -5 in increasing order.\nAnswer: -408, -33, -5, -3, 4, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4385 - 2349 = -13*l. List the prime factors of l.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10700?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 2, c: 4, m: 3, r: 6, h: 4}. What is prob of picking 1 c, 1 h, and 2 b?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + 3.91. Let l = h + -0.08. Which is the second smallest value? (a) -4\/9 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8000 (base 14) to base 2\nAnswer: 101010111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*i - 20, -3*i + 2*z + 12 = -0. Suppose s + 6 = 15. What is the smallest common multiple of i and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*o = 980*o - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(75)\/sqrt(3))\/(1*sqrt(500)) + (sqrt(45) - (2*sqrt(135))\/sqrt(3))\/(1*sqrt(9)*-3))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgg when four letters picked without replacement from jgmngggjmggmn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(1\/4)\/q)\/q))\/(q*q**(-2\/21)*q))\/((((q*q*q**(-1)*q*q)\/q)\/q)\/(q\/((q\/(q\/(q\/q**(-3\/4))*q))\/q*q))) assuming q is positive.\nAnswer: q**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 743478 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59600 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1120 + -281. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 35 = 13. Let y = 2803\/4 - 689. Which is bigger: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -6. Let n = -299 - -299.3. What is the third biggest value in -1, j, -32, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 6, g: 2, s: 2, n: 4, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/5, -0.3, -8, 3, -12, 5\/19.\nAnswer: -12, -8, -0.3, 5\/19, 4\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*x**3 + 96*x**3 + 15*x**3 + 93*x**3.\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 8*u**2 - 8*u + 4. Let x be o(-7). Suppose 5*p - p + b + 7 = 0, 5*p + x = -2*b. What is the biggest value in -7, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-2 + 10 - 11 - 14).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 1 + 0 - 1 to the form w + h*t and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -1, -82, -125.\nAnswer: -125, -82, -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {f: 7, p: 10, h: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49769117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 331*c - 303*c - 1)*(0 + 1 + 0).\nAnswer: 28*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -66737400.9 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**3 - 31*o**2 - 39*o + 47. Let a(s) = -3*s**3 - 16*s**2 - 19*s + 23. Let v(l) = 5*a(l) - 2*j(l). Let d be v(-17). Solve 1 = 5*q + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 11. Suppose m*b = 9*b - 14. What is the least common multiple of 4 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 34. Suppose -9*r - 11*r - 1000 = 0. Let w = k + r. Is 0 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48532 and 90277.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 51291*k**2 = 0. What is k?\nAnswer: 0, 17097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 99*b - 2363 = 16*b for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from {n: 2, f: 5, i: 4, x: 8}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 3. Let o be h(-4). Let n = o - -1. Find the first derivative of -3*l**4 + n*l**4 + 1 + 1 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15871011 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4751154 + -838266.\nAnswer: -5589420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**2 + 3*r - 5. Let m(k) = -k**2 - k + 1. Let u(a) = -f(a) - 4*m(a). Suppose 8*l + 3 = 3. Suppose -5*i = -6 - 4, l = 4*o + 2*i. Calculate u(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**3\/3 - 689. Let i(r) = -2*r**2 + 56. Calculate i(x(m)).\nAnswer: -2*m**4 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114475.32 + -114550.32057. Let k = 61 + -136. Let y = k - x. Round y to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 + 7*t**2 - 22*t + 408. Determine i(-10).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2157 = 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 55\/((-1210)\/(-88)) + 52\/(-14). Which is greater: t or -1548?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cell when four letters picked without replacement from lyclcceeetllcel.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70242606 by 17361.\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + (176 - (42 + 14)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1666 - 29.\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/35523 and -63\/335495?\nAnswer: 3019455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + r = -7, -z = 4*r - 2*r. Does 23 divide (-13 + 16)\/(6\/544*z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*d - 769. Let b = d - -398. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b1d (base 16) to base 2.\nAnswer: -11101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:18 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*u**3 + 377*u**2 + 106590*u wrt u.\nAnswer: 2130*u + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5290749*i**2*j*r + 116*i*j*r - 10*j*r - 697*r wrt i?\nAnswer: -10581498*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 32148*q - 12312064\/3.\nAnswer: -2*(q - 48094)*(q - 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225.2 - 223. Sort 12, -1\/6, i.\nAnswer: -1\/6, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 19, 33, 45, 49, 39, 9, -47?\n\"Answer: -g**3 + 8*g**2 - 7*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -345565*l**2*m**2 + 2*l**2 - 2*l*m**2 - 74*m**2 + 2022 wrt l.\nAnswer: -691130*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhmgmmm. Give prob of picking 1 g and 1 m.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 2. Suppose -14*r - 24 = -276. What is the greatest common divisor of x and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/54)\/(-25) + 750\/144*4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -10 in ascending order.\nAnswer: -10, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**2 + 4. Let r(m) = 38*m**2 + 11. Suppose 0 = -1120*s + 1106*s - 56. Calculate s*r(p) + 11*l(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1792 - -3693. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -21, 5, 2 in decreasing order.\nAnswer: 12, 5, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 + 3*v**3 - 4*v**2 = 0. Calculate v.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185*-1035.\nAnswer: -191475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -283, -1144, -2579, -4588?\n\"Answer: -287*t**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.51 - -0.71. What is the closest to b in -2\/5, 13, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 2:10 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106.6 + 111.6. Let f = 0.3 + 0.1. Let z = f - -2.6. Which is the closest to 2\/11? (a) z (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s + 5*s - 12359 + 12356)*(s**3 + 0*s**3 - 8*s**3).\nAnswer: -98*s**4 + 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -58, -72, -86, -100?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 6) + -20 + (-2 - -6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.9 (b) 3 (c) 1 (d) -212 (e) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3349 - 6986 + 276 + 3964 - 15964 - x as z + w*x and give z.\nAnswer: -22059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 16*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*t + 60 = -0*j, j - 5*t - 15 = 0. Let s = 20 - j. Suppose -3*v - 2*h + 4 = -4*h, 2*h = -4*v + 24. Solve 0*d + 5 = d - s*u, 3*d = v*u - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2350)\/(-25)*5*(-7)\/70\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 4 = 3*g + 2*q, 3*g + 41 = -q. Let n = g + 1. Let p = 16 + n. Solve -a + 2*a - p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 5 - (-5 + (0 - -3))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 3*v - 7. Let w be k(-5). Suppose -2*p - w + 13 = z, 0 = z - 3*p. Suppose -7*j + 4*j = -6. Solve 0*g = -t - g - z, -j*t - g - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19190, -20820, -23536, -27338?\n\"Answer: -543*i**2 - i - 18646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 1. Let g(d) = -3*d + 45. Let t(u) = u + 1. Let w(h) = g(h) - 3*t(h). Let v be w(3). What is the highest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 17. Let h be s(-14). Suppose 394 = h*u - c, -3*c = -5*u + 2*c + 660. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 0.1. Suppose 2*n - 15 = 5*n. What is the nearest to p in 0.1, n, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 38. Let q = 1655\/12 - 427\/3. What is the common denominator of q and l\/48 - 1\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 24. Let o be d(9). Put -5, o, 4, 3 in decreasing order.\nAnswer: 4, 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 6*i - i)*(44*i - 14*i + 41*i - i).\nAnswer: -350*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqq when three letters picked without replacement from qfyqqqvytfqfqqqqfqq?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8212316 - 0.07?\nAnswer: -1.8912316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -2\/5*a**5 + 153 + 0*a**2 + 3\/2*a**4 + 8\/3*a**3 + 0*a. Solve d(y) = 0 for y.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*k + 0*k = 1630, 0 = -l - 5*k + 575. Suppose 11*x = 13*x - l. Suppose 24 + x = g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzdm when four letters picked without replacement from {d: 7, l: 7, z: 2, m: 3}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/84)\/(2\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 36.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 253 + 325 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16796\/(-30) - (-28)\/(-210). What is the common denominator of (15\/4)\/((-546)\/w) and 76\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, 0.3, -61778, 4, 111, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 18*q - 14*q. Suppose -b - q*b = -65. Calculate the greatest common factor of b and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 + 6*u - 1. What is the lowest common multiple of 7\/((-14)\/(-16)) + 1 and p(4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + v**3\/3 + 3*v**2\/2 - v + 9. Let y = 0 + 3. Determine a(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(104)*-1)\/sqrt(8) + (sqrt(1573)*-1 - sqrt(13)).\nAnswer: -13*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-9 + 0) - (-8 + 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536656 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 299580630?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.84 and 4185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 193 = 4854*n - 9696*n + 4847*n, 0 = -n + 5*u - 33 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 4*z - 44 = 0, 34 = 2*h - 5*z. Suppose -m + h = 3*o + 2, 0 = -o - 1. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -3*a. Suppose 0 + 8 = -2*n + 2*v, -4*v = a*n. Let k(o) = -o + 2. Let t(f) = -1. Calculate n*k(y) - 6*t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/726 and 59\/10.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from {h: 6, k: 4, z: 4}?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**3 - 1431*c**2 - 1429*c**2 + 2859*c**2.\nAnswer: 45*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1875 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-18)*-2 - (-78)\/18. Suppose -21*q = -17*q + 20. Let f = 2 + -4. Put f, u, q in decreasing order.\nAnswer: u, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100304 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1602.8 + -1603. Which is greater: v or -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1757 = -h - 464, 3*h = 3*r - 1668. Does 37 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4157 - 113*h**2 + 4157)*(-h + 4*h - h + (2 - 6 + 2)*(-1 - 2*h + 1)).\nAnswer: -678*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 132 = 2. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*i**2 + 0 - 1.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*o - 26, -187*o - 5*j = -191*o + 40. Solve -45*u = -o*u - 120 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1923559 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4848 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000222355 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*m - 10 = -4*u, -1 = -4*u - 5*m. Solve -3*s + s - u = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d + 6*d + 5*d**2 = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/1954 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -211?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354\/5 - 71. Suppose -r + 15 = 2*r. Let k = r + 0. What is the closest to 0.01 in p, k, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 15, -159, -395, -693, -1053?\nAnswer: -1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2385 - -2387. Sort 2\/7, k, 3\/43, -3 in ascending order.\nAnswer: -3, 3\/43, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 - 10*y + 30. Determine v(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 + -23. Let g = 540 - w. Let f = g - 220. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**2\/4 + 2353700*m = 0.\nAnswer: 0, 9414800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:50 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 265 in 21, -11, -0.5, 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105475208 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 6, 2, -57, -4 in ascending order.\nAnswer: -57, -8, -4, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -307\/12*x**4 + 3 - 47*x + 19\/2*x**2 + 1\/3*x**3. What is the second derivative of i(w) wrt w?\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.206 + 10.3. Let x = -0.063 + c. What is x rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 25977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 21 = 21*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005111 to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 18*u - 55*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -312 + 312.00002457. What is j rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 57*d - 817. What is s(-36)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 + -703\/5. Let g = -89288 - -89287.6. Which is the biggest value? (a) -0.23 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5941, 670, -2\/3?\nAnswer: -5941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(((c*c*(c*c\/((c*c*c**(-8\/5)*c)\/c)*c)\/c)\/c)\/c))**1 assuming c is positive.\nAnswer: c**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - f = -207. Let x = f + -18. What is the second derivative of 5*s**2 - 10*s - 10*s + x*s wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a33a04 (base 13) to base 3\nAnswer: -221022212100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -2)\/(3\/2). Let v = 12 - h. Let p(b) = -15 - 25 - 14*b + 32*b + 34 - 17*b. What is p(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3\/3 - 11*b**2 + 5*b + 12. Let j be g(11). Solve j = 2*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 2*t + 10. Let h = t + -47. What is the remainder when h is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000149799749 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831539 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -1739.\nAnswer: -1739.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = c, -2*f + 13 = -4*f - 5*c. Which is bigger: f or 2\/41?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (17 - (3 + (3 - 0))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.354 + 0.354. Which is the closest to -2\/15? (a) o (b) 10 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 58*b - 54*b + 155*b - 50*b + 3*b**2.\nAnswer: 3*b**2 - 7*b - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 193 - 194. What is the hundreds digit of (a\/(-4))\/((-53)\/(-146068))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69640*c - 34524*c + 59186*c + 25906*c - c**2.\nAnswer: -c**2 + 120208*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5*p + 2*p - 9 = 0, -3 = 3*i + p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 149*c - 2087. Give h(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 70*b + 4716 = 0. Calculate the least common multiple of 27 and b.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*y = 32, 3*h - 2*y + 6 + 0 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8652*n - 990 = -8597*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -308 - 4?\nAnswer: -30c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122)\/1647*(63\/12)\/7?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3185 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w - 3*f = -43, f + 39 = -5*w. Let p be (6\/w)\/(3\/(-12)). Suppose -p*n + 2 = 3*v + 2*v, -4*v - 5*n = 1. Put v, 0, -2 in increasing order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 3915708*p**2\/7.\nAnswer: 2*p**2*(p + 1957854)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2863 - 2856. Sort -3, y, 5, 2\/13 in decreasing order.\nAnswer: y, 5, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 68375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 23. Solve 0 = -2*h + c*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401 = -5*y + 446. Let w be 5*3\/15*y. Solve -2*q - w = r - 0*r, -r = -3*q - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 4*p. Suppose -l - k + p = -48, 0 = 4*l - 3*k - 263. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24393.\nAnswer: 3, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -11. Let j = -16 + c. What is the closest to 0.1 in j, 4\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135050 and 1533650.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 30*q**2 + 229*q - 75. What is the least common multiple of 66 and j(-9)?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -3\/61 (c) 0.19 (d) 5 (e) 0.18 (f) 0.2 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/((-3 - 1 - -7)*1) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**4\/12 - m**3\/6 + 5*m**2 - 9667*m. Let l(r) = r**2 - r + 10. Calculate 6*j(h) - 4*l(h).\nAnswer: 2*h**2 - 2*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5920518t in nanograms?\nAnswer: 592051800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -21*q + 24*q + q**2 - 4*q**2 + 8 - 4*q - 8*q. Determine l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228845135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6292 and 968.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:08 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -170\/7*y - 2\/7*y**2 - 176 = 0?\nAnswer: -77, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 7 + 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 742.9738 kilograms?\nAnswer: 742973800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -11\/160 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178\/63 + 28\/9. Suppose z = 3*z - 8. Let u be (10\/(-4))\/((-2)\/z). Which is the closest to 1? (a) o (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3819?\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 8*n**2 + 8*n - 12. Let g be s(-9). Let j be -3*(2 + (-17)\/g). Let r = -16 - j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588\/(-56)*(-2)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**2 + 6*a - 8. Suppose -4*i = 3*z - 33, -2*i - i + 33 = 5*z. Let q(x) = -7*x**2 + 5*x - 7. Let v(k) = i*q(k) - 5*l(k). Differentiate v(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/3 - 1. Suppose w - 2*w + 6 = 3*x, -3*w + 8 = 4*x. Suppose w = -3*g - 0*g + 9. What is the second smallest value in r, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 525\/(-90) - (-3)\/(-18) - 159\/(-26). Let q = 9.5 - 10. Which is the third smallest value? (a) q (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21033 + -525818\/25. Is s equal to -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwwawnwnnnwanw. What is prob of picking 2 a and 1 w?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 37*w**4\/3 + 18*w. Let h(r) = -r**2 - 2. Let s(u) = 3*u**2 + 12. Let i(d) = 6*h(d) + s(d). Determine i(f(n)).\nAnswer: -65712*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-5)\/120)\/(-2*(-2)\/336)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = d + 2*z - 1311, -5*d + 2*z + 6521 = 0. Is d a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 968 or -62?\nAnswer: 968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*q. Let v(f) be the third derivative of 2\/3*f**3 - 202*f**2 + 1\/60*f**5 + 0*f + 1\/6*f**4 + 0. What is v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 2. Let d = 5.2 + z. Put 2, d, -4 in ascending order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 429. Let i(p) = 380*p**2 + 367*p**2 - 743*p**2. Give u(i(s)).\nAnswer: -4*s**2 - 429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5903 - -18988. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -10*w**3 - 426995*w**2 - 2348195*w - 1067350 = 0?\nAnswer: -42694, -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/236800 and 137\/105600.\nAnswer: 7814400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*r**3*v**3*w - 1745003*r**3 + 8351*r**2*v**3*w + 2*v**3 with respect to w.\nAnswer: -29*r**3*v**3 + 8351*r**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/5 - 54416768*w - 1850740399728640 = 0.\nAnswer: -68020960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2127499\/48 + -44326. What is the common denominator of -3 - ((-46)\/(-40) + 1) and o?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(1 + -2) - 0. Is (-834)\/v*(-9)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*z - 27, -2*b - 2*z = -6 - 30. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101960)\/30588)\/(3\/27*9\/48*4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.3 and -140064.\nAnswer: -140076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57925 (base 12) to base 10.\nAnswer: 117101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8849 - 8815. What is the remainder when 1945 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -68. Suppose 30*r = b*r + 162. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5\/5 - 1156*w**4\/5 + 108008*w**3\/5 - 3493712*w**2\/5 + 32630304*w\/5 - 52131456\/5 = 0.\nAnswer: 2, 12, 39, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -6, 9, 36, 81?\n\"Answer: f**3 - 3*f**2 + 11*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/6)\/(-7)*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 585460 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411\/4*t + 0 + 1\/4*t**2 = 0 for t.\nAnswer: -411, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/5 - 14*v**3\/5 - 4*v**2\/5 + 24*v\/5 + 16\/5 = 0. Calculate v.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 108664728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2114*v**2 + 2*v + 1753*v**2 + 1703*v**2 - 1381*v**2.\nAnswer: 4189*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1770 - -5257\/3. Calculate the common denominator of -33\/2 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 169 + -109. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24202025 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -193 + 2*t**2 + t + 197 + 2*t. Does 12 divide r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11983, -24636, -37289, -49942, -62595, -75248?\n\"Answer: -12653*a + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -18. Solve -3 = -i - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*r**3 - 193*r**3 + 25*r**2 - 186*r**3 - 25*r**2 - 216*r**3 + 796*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17351?\nAnswer: 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2543747604.\nAnswer: 2, 3, 17, 1723, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 563*h + 128. Is 114 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9553008 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5449247 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 - -123. Solve 0 = x + 5*j + 1 + q, j = -3*x + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 286.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 9 - 8*b**3 - 258*b**2 + 266*b**2 + (4 - 4 + b**2)*(-2*b - 5*b + 5*b))*(9 + 24 - 48).\nAnswer: 150*b**3 - 120*b**2 - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (20 + -26 + 11 - -10)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.679 + 0.479. Let k = -624\/5 + 124. Which is the closest to -1? (a) -1 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.26661 to two dps.\nAnswer: 3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 83.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 12*r + 4*k = -20, 2*k + 10 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 19*r**3 - r**2 + r - 1. Let v be u(1). Let w = 30 - v. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906309 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-34)\/(-10) + (-6)\/15. Suppose -n + 2*b = -a*n - 16, 0 = b. What are the prime factors of (-78)\/n + 2\/8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605581289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10623631.\nAnswer: 23, 139, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71712 by -83.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 35*v**2 - 100*v - 1523. Is q(-76) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 4195*q**2 - 111605*q - 730925.\nAnswer: 5*(q - 865)*(q + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -4 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 152 * -0.2\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495 take away -0.184424?\nAnswer: -2494.815576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*k + 93*k - 36*k)*(k**3 - 3*k**4 - k**3).\nAnswer: -558*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107912763 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)*2 + (sqrt(4)\/sqrt(2))**2 + 4 + sqrt(2).\nAnswer: 6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 17*m - 52. Calculate the remainder when 62 is divided by y(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 + 2*x**2 - 8*x + 4. Suppose -3*o = 8*c - 3*c - 9, 2*o - 6 = 2*c. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 15*b - 180. Does 28 divide 2\/4 + 7 + 4890\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527759503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Suppose 1 = -5*h - 2*w + 3, 2*h - 5*w = 24. Let q(o) = 3*o**2 + 2*o**h - 6*o**2 + 2*o**2. Give t(q(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 446856 by 516.\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -193, -163, -131, -97, -61, -23?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -149, -128, 229, 1090, 2623, 4996, 8377, 12934?\n\"Answer: 28*q**3 - 175*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21901 is divided by 1368?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*p - 16, 0 = -3*f - 10*p + 9*p + 11. Let n be 0\/(-3 + f - -2) - -1. Put 5, n, -2, 2 in increasing order.\nAnswer: -2, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294 + 307.1. Let a = w + -13. Let o = 3.05 + -3. Is o > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1765292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5676)\/(-14190)*2*-1)\/((-1)\/((-210)\/(-4)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5299 (base 11) to base 4.\nAnswer: 1231131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1543808 (base 11) to base 8\nAnswer: -12044735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 + 28225136*j**2 + 99582344227560*j + 398328925308192 = 0.\nAnswer: -7056282, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(648) - ((sqrt(18) + 2*sqrt(18))*6 + 4))**2 + 4.\nAnswer: 720*sqrt(2) + 16220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 153*g + 45. Let j(h) = 7*h + 2. Suppose -b + 30*z - 33*z = 57, 2*z = b + 37. What is b*j(p) + 2*x(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vyvvvykvyyvvyvy?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 7. Let d be s(5). Suppose 36 = 4*g - 4*f, 5*g - 33 = 2*f + 21. What is the remainder when g is divided by d\/7 + (-64)\/(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 131, 71, -263, -1015, -2329, -4349?\nAnswer: -7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5.863, 5, 0.29, -3\/4, 1\/2?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1701, 1755, 1809, 1863?\nAnswer: 1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 2*j**5\/15 - j**4\/12 - 4*j**2. Find the second derivative of s(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 48 + 87 = 0. Suppose 3*n = 4*n + 5*w - 25, g = 4*n + 3*w. Suppose c + y - 275 - 269 = n, -3*y + 550 = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65146 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.076111km?\nAnswer: 907611.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14299*a**3 + 46*a**2 + 22698*a**3 - 90*a**2 + 44*a**2.\nAnswer: 36997*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10*b - 9*b + 10*b)*(5*b**3 - 4*b**3 + 0*b**3).\nAnswer: 11*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27107070.\nAnswer: 2, 3, 5, 903569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 2. Let v = 17 - 20. What is the remainder when (-6)\/2*52\/v is divided by f(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcuoofi. Give prob of picking 1 i and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/5)\/(l**(-5)*l))\/(l**(1\/4)*l)**(-6))**(-1\/42) assuming l is positive.\nAnswer: l**(-109\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - 12*k + 12. What is o(-9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/8 and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342 + -341.5. Let q = 0.08 + 12.92. Let l = 12 - q. What is the second biggest value in -1\/3, u, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 4. Let l be 152\/24 + 2\/3. Let c be h(l). Suppose -10 = -c*w + 5. Solve 10 = w*n, 2*d = 3*d - 5*n + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 2*p, -3 = -3*p - c + 1. Let a(w) = -6 - 4 + 9 - 2*w + w**p. What is the units digit of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + 0*l - 4*l)*(-2 + 0 + 3) + (-1 - 3 + 11)*(-2*l + 0*l + 0*l) + 0*l + 3*l - 2*l)*(3503 + 1290*l**2 + 457*l**2 - 3503).\nAnswer: -24458*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**3\/3 - 3*z**2 + 7*z - 3. Suppose 3*t + t = -24. Give l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 34 + 19*v - 70 - v + 38. Calculate j(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*2*-3 + sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77))\/sqrt(7))**2*6.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -158. Let j = -96 + u. Which is the second biggest value? (a) 1\/2 (b) 0.04 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 2822. Is p a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16205 + 599 = -867*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**6 - 2*w**3 + 6*w**2 + 2*w - 2. Let k(x) = x**3 - x + 1. Let r(q) = 2*k(q) + s(q). What is the third derivative of r(b) wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.384, -1171, 1?\nAnswer: 0.384","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 66*d + 6. Let l(h) be the third derivative of 13*h**4\/24 + h**3\/6 + 2*h**2 - 18*h - 3. Calculate 11*l(k) - 2*p(k).\nAnswer: 11*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.76, 3, 27, -2\/11, 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dynd when four letters picked without replacement from {d: 2, s: 1, y: 2, n: 2, c: 1, v: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19610 and 9527870.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1643, -1157, -343, 805, 2293?\nAnswer: 4127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6041, 1309, 1\/6, -0.02.\nAnswer: -0.2, -0.02, 1\/6, 1309, 6041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + (17 - 2) - (1 + 5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1795*b*z**3 + 4*b*z + 29*z**3 - 10020*z wrt z.\nAnswer: -10770*b*z + 174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10416, -41611, -93596, -166371?\nAnswer: -259936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2795 and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 671 = -2*m - 65, 2*g - 1555 = -5*m. Suppose -46 + m = 3*z. What is the second derivative of z*x**3 + x**4 - 89*x**3 - 8*x + x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -2)\/(6\/(-3)). Let f(t) = t**2. Let y(a) = 4*a + 0*a**2 - 3*a + 5*a**2 + 2. Let x(r) = 4*f(r) - y(r). Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96)\/9)\/4*12. Let v = h + 74. What is the common denominator of 81\/2 and ((-3)\/8)\/((-18)\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*n - 22, 5*g - 3*g - 3*n - 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 23ea2?\nAnswer: 23ea4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 times -56.57\nAnswer: 0.33942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -23. Calculate the least common multiple of 8 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -119. Let q = 19 + r. Which is the second biggest value? (a) q (b) 1\/10 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 83 - (-2491 - -2541)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 7, a: 5}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 12 = x + 2*z, -x + 4*z = 18. Suppose -4*i + x = -6. Suppose 0 = -i*r + 3*r. Let f(y) = y**2 - 2. Calculate f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - ((-4 - -15) + 3). Let t be 1*3\/((-6)\/s). Find the third derivative of -6*j**5 - 11*j**5 + 16*j**2 + 2*j**t wrt j.\nAnswer: -900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637358 (base 14) in base 8?\nAnswer: 14646422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 2, -2, 5, -5 in decreasing order.\nAnswer: 16, 5, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(80)\/(sqrt(324) + -1*sqrt(324) + sqrt(324)))\/((-1*sqrt(64) - sqrt(4)) + sqrt(768)\/sqrt(12)) + 3.\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 11*b**2 - 12*b**2 + 7*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0634 - -0.0634. Sort x, -4, 13, -0.1 in increasing order.\nAnswer: -4, -0.1, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)\/sqrt(7) + sqrt(35)\/(sqrt(5) + -4*sqrt(5)))**2.\nAnswer: 847\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 4)*(-5*q**2 + 2*q**2 + 0*q**2) + (0*q - 6*q + 4*q)*(-2*q - q - 2*q).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-7)\/((-56)\/60)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -22*t + 3. Let r(a) = 2*a + 20. Let f be r(-13). Let w be k(f). Suppose -w = 6*v - 531. What is the remainder when v is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2201, 3813, 6583, 10517, 15621, 21901, 29363?\n\"Answer: a**3 + 573*a**2 - 114*a + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r. Let x(j) = -50*j**2 + 45*j. What is 2*x(h) - 90*z(h)?\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27507*f**3 + 2*f**2 - 11*f - 17?\nAnswer: -165042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15303586927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*q**2 - 228*q + 228*q)*(q**2 - 2*q**2 - 2*q**2).\nAnswer: -276*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 - 555*i + 11628 = 0 for i.\nAnswer: -204, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 15. Let q be o(-4). Suppose -8476 = -q*v + 15*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(-26)*j\/(((j\/(j\/(j*j\/j**(-2\/35)))*j)\/j)\/j)*(j\/j**10)\/j assuming j is positive.\nAnswer: j**(-2172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnn when three letters picked without replacement from lgglgalwnn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n + 591 = -34*n - 3357 for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66063, -132116, -198169, -264222, -330275?\n\"Answer: -66053*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6674607886 + -0.06.\nAnswer: 6674607885.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 506 = -4*d, -3*d + 0*d - 3*q + 372 = 0. Solve 0 = -110*o + 89*o - d for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from allla.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 45 = 30. Let r be n + (-10)\/(-4) - (-71)\/2. What is the highest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10011100011111101110110000?\nAnswer: 10011100011111101110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*n = -0*n - 21, 8*m = 2*n + 26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3330079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.08, 1\/1934, 0, 5\/3, -0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d = 31 + 77 + 134 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5053 + -5050. What is the closest to 0.14 in 5\/2, c, -4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 624950516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81052 is divided by 96.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 182840 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 5*q - 5 = 0. Let i(l) be the third derivative of -2*l**2 - 1\/84*l**4 + 0*l + 1\/210*l**q - 1\/21*l**3 + 0 + 1\/420*l**6. Find g, given that i(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*j - 1, 30 = 2*j + 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6762 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*r = -0 + 13, 2*t + r = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**8\/312 - 16*s**7\/1365 - 17*s**6\/780 + 17*s**5\/195 + 5*s**4\/39 - 8*s**3\/39 + 3*s**2 - 21*s. Solve z(o) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + 36*j**2 + 115*j + 766. Give o(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60b (base 15) in base 9?\nAnswer: -1772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3787824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 35 - (1 + 20 - 43 - -31)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*11.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 12:21 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2006*h**2 - 78238*h - 152. Calculate k(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/(-2))\/((-2)\/(-24)*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-5*f**4 - 26*f**4 + 23*f**4 + 4*f**3) + (0*f**4 + 2*f**4 + 0*f**4)*(4 + 3 - 4) in the form z*f**2 + p*f**3 + q*f**4 + u + w*f and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 0*h**2 + 33\/10*h**5 - 1\/6*h**3 + 1\/12*h**4 - 6*h + 0. Is 20 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, f: 3, y: 7, j: 1, z: 1}. What is prob of picking 4 y?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 1191260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/193 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j + 39 + 0 + 11*j + 2*j**3.\nAnswer: 2*j**3 - 18*j + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 - 127.2. Which is the closest to z? (a) -1 (b) -5\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 1\/3 (b) -0.59 (c) -21 (d) 6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/(3\/10). Let k(v) = v**2 - 1323*v + 62438. Let o be k(49). Solve -y*j - 2*j = -o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 17*w - 14*w)*(5*w**4 - 16*w**4 - 10*w**4 + 1) + w**5 - 4*w**5 + 4*w**5.\nAnswer: 43*w**5 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 147*x**5\/11 + 377204*x**4\/11 + 4544*x**3\/11 - 1508816*x**2\/11 - 20528*x\/11 = 0.\nAnswer: -2566, -2, -2\/147, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 475*b - 470*b + 1 - 4 - 127*b**3. Let g be y(-3). What is g rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 26?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/245*10 - 2\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*h - 18*h - 15*h**2 - 60*h**2)*(-4 - 2*h + 4).\nAnswer: 150*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -1.5 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 + -261. Let h = j + 110. Sort -4, 4, 3, h in decreasing order.\nAnswer: 4, 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2225*p**2 + 9*p**2 + 411*p**6 - 2086*p**6 wrt p.\nAnswer: -201000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.92027109 rounded to three decimal places?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/3)\/(30\/9)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 116*y**2 + y**3 + 109*y**2 - 4 - 339*y**2 + 113*y**2. Let z be (-4)\/(-14) - (-2)\/(-7). Give p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7 + 118*y - 1 - 117*y. What is the least common multiple of 8 and j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.044 (b) 2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 8. Let m be s(2). Suppose 37 = 47*p - m. Sort -3, p, -31 in ascending order.\nAnswer: -31, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 3*g - 1. Let d(i) = i**2 - i. Let q(l) = -2*d(l) + v(l). Determine q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p - 1. Let t(s) = s**2 + 24*s + 28. Let b be t(-23). Suppose b = -5*k + 5*c + 10, 5*c = -5*k - 15. What is a(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyly. What is prob of sequence yoy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.636 seconds in milliseconds?\nAnswer: 563636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6608 + -0.3608. Let g = 0 + 0.2. Which is the closest to g? (a) n (b) -3\/4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, 5, 4, 3, -11.\nAnswer: -11, 3, 4, 5, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/8)\/(18\/24). Let w(p) = g*p**2 + 2*p**2 - 2*p + 19*p**2. What are the prime factors of w(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924170971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2210 + 10?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n + 2. Let b be d(-4). Suppose -16 = 3*m - 11*m. Suppose -y - 7 = 2*t, -5*y = -3*y - m. Sort b, t, 1 in decreasing order.\nAnswer: b, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 27.90747\nAnswer: 2.790747","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m - 10. Let f(z) = 11*z - 21. Let i(a) = -6*f(a) + 13*h(a). Suppose 0 = -0*x - 3*x + 6. Calculate the remainder when x is divided by i(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160, 2661, 9446, 22657, 44436, 76925, 122266, 182601?\n\"Answer: 357*l**3 + 2*l - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1275979367?\nAnswer: 1275979367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 150620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 59 + 69 = 0. Let y = 53 + m. Suppose y + 7 = 4*d - 4*b, 3*d - 27 = -3*b. Solve 3 = -5*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:59 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/13 + 6*u**4\/13 + 1964*u**3\/13 + 1936*u**2 + 50688*u\/13 - 77824\/13 = 0.\nAnswer: -16, -4, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5654 - 5600. What is the greatest common factor of 7146 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1667.3 + 1667.7. Which is the fourth smallest value? (a) l (b) -5 (c) -2 (d) -3.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/5)\/j**(-3\/7)*j**2\/j**(-2\/19)*(j**(-2\/7)*j*(j\/(j*j*j**(-4)*j*j)*j)\/j*j*j*j)\/(j*j**(2\/5))**(6\/11) assuming j is positive.\nAnswer: j**(10072\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -7. Let k(o) = o**2 + 2*o - 1. Let b be k(-3). Let q(r) = b*r - 33 + j. Let v(t) = 5*t. Determine q(v(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 4. Suppose -2*f + 42 = -7*f + 2*v, -5*v - 3 = f. Let d be t(f). Suppose -5*s = 5*w - d*s - 4, 2*w - 3*s = -12. Solve -4*n + w = 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*y + 7 - 50*y + 65*y wrt y?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022e (base 16) in base 3?\nAnswer: -10100122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -5, 4, -8 in decreasing order.\nAnswer: 4, -5, -8, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2 - 15*k + 82. Let t(p) = -9*p**2 + 13*p - 84. Let c(z) = 4*n(z) + 3*t(z). Calculate c(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 9, i: 6, d: 2}. Give prob of picking 2 i.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*q**2 + 2 - 2*q**2 + (2 - 2 - 2*q)*(q - 2*q + 0*q + (3 - 3 + 1)*(-5*q + 2*q + q) - 4*q - 2*q + 5*q + 3 - q - 3 - 194 + 194 - 10*q).\nAnswer: 31*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-39*2)\/(894\/(-149))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6564*t - 65691. Determine x(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/60 - s**5\/6 + 2*s**4\/3 - 4*s**3\/3 + 10*s**2. Find k, given that c(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 + 158 = 5*n + p, 5*n = -3*p + 606. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*w - 63*w**4 + 22*w**4 + 27*w**4 + 19*w**4 + 55*w**2 - 13*w**3 - 17*w**3.\nAnswer: 5*w*(w - 3)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 365.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.608 + -2.408. Let u = -0.2 + 2.4. Let g = -0.8 - u. Sort g, 4, r in ascending order.\nAnswer: g, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -g. Let a(n) = n**3 - 5*n**2 + 5*n. Let l be a(g). Suppose 4*i = -l*i + 424. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27249.53 and 99.58.\nAnswer: 27349.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/4*(-2)\/(-3). Suppose 0 = 2*k + m - 3. Suppose 4*f + 3 = 3*u, -5*f + 2*u - 5 = 4. Put k, f, 2 in descending order.\nAnswer: 2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 177*b + 2*b to the form c*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -37*q**6\/15 - q**4\/4 + 183*q**3\/2 + 327*q. What is the second derivative of g(h) wrt h?\nAnswer: -888*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -5, 3, 3\/5, -1\/11 in increasing order.\nAnswer: -5, -2\/9, -1\/11, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -67 + 27 + -19.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**2 + 6*m + 3. Let t be l(-2). Let j = -14 + t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, -42868, 0, -2 in increasing order.\nAnswer: -42868, -4, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 569, -3, 0.09, 0.3 in ascending order.\nAnswer: -3, 0.09, 0.3, 569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a = 26*a - 840. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 17650?\nAnswer: 35300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1460, 13\/3, 0.3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-368)\/(-96)*5\/(-115)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77525 or 77533?\nAnswer: 77525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -253.7 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 63 = d, -58 = -3*b + 2*d + 37. Suppose -3*k = -b + 10. Suppose -l + l**4 - 8*l**2 + l**3 + 0*l**3 + k*l**2 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -10207285.3\nAnswer: -1020728.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (5 - (5 + 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j - 11. Suppose 2*h + 5*g = 24, 2*g + 4 - 1 = h. Let k(v) = 0*v + 3*v + h*v - 3*v + 6. Calculate -6*d(u) - 11*k(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19040 = 13285051*h - 13285221*h for h.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-10) - -2)*1. Which is smaller: -2\/177 or z?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 781817 or 781819?\nAnswer: 781817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b = -95 - 105 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 4 + -2)*-4)**2 - (sqrt(44) - (sqrt(44) - sqrt(44)*2)*3)\/(sqrt(40)\/(sqrt(20)\/sqrt(2))).\nAnswer: 572*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4\/3 + 388648*q**3\/3 + 2517169411*q**2 - 33239136134*q\/3 - 96681196096\/3 = 0.\nAnswer: -38867, -2, 32\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 45 + 17 = -5*j, -2*j - 17 = -a. Let q = a + -11. Factor -2\/3*c - 2\/3*c**q + 0.\nAnswer: -2*c*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-119))\/(((-581120)\/(-2688))\/454)\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:53 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) + 1\/3. Suppose -m + 136 = n*m. Suppose -3*v - 4*t = v - 56, -2*v = -4*t - m. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 22. Let g be i(10). Is (2\/3)\/(g\/7101) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 136161 (b) -0.1 (c) 3 (d) -1.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -195. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let a(o) = -2*o + 12*o**3 - 4*o**s - 13*o**3 - o - 3. Give a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -20*s**2 + 7592. Let a(k) = 0 - k + 0. Give r(a(x)).\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 + -126.212. Let q = -1.788 + y. Which is the smallest value? (a) 0.32 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 452\/272173?\nAnswer: 452\/272173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose 0 = 170*j - 167*j - 18. Solve -b - b + j = h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 5*b - 3*b + b**2 - 1. Suppose -6*v + 5*v = 1. Calculate z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/4, 1\/2, -4 in ascending order.\nAnswer: -4, -2, 1\/2, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-11 - 219\/(-20))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s. Let f(q) = -7*q + 5. Let y(c) = -2*c + 1. Let r(x) = -2*f(x) + 10*y(x). Give r(d(p)).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 3032241135?\nAnswer: -3032241131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217105.1t to milligrams.\nAnswer: 217105100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 37 - 63 = 5*m, 3*m + 48 = 3*h. Let o be m\/(-27) - (-98)\/6. Calculate the greatest common factor of 153 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/3, 1\/6, 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -390*w**2 - 2*w + 2*w + 389*w**2. Let n(m) = 1721*m**2. Calculate t(n(j)).\nAnswer: -2961841*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/3, 8, 0 in decreasing order.\nAnswer: 8, 0, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152? (a) -6\/7 (b) 15\/2 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10152 - 81195\/8. Calculate the common denominator of t and -39\/1231.\nAnswer: 9848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 3. Let c be o(8). Suppose 0 = 2*u - 4*s - 42, -s = -u + c*u - 39. Is 2\/u - (-41106)\/66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 1167*k**3\/4 - 10941*k**2\/4 + 5022*k + 1431 = 0. What is k?\nAnswer: -106, -1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*y + 2077*a = 2013*a - 261, a - 16 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, 802, 1201, 1598, 1993?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.949487183 to 3 decimal places.\nAnswer: 9.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*d + 82*d - 20312 = -2041 - 1342 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10854)\/90450)\/(((-6)\/20)\/1))\/((-2)\/(-230))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 1110?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 + 349. What is z rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose 5*c = i*c + 58. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and 2 + -4 + (-10)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2 + 15 + 474208\/146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-14)*((-10)\/(-2))\/(-15)*36?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*f - 117342, -235*f + 195588 = -230*f + 2*s. List the prime factors of f.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94664 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81, -150, -229, -324, -441, -586, -765, -984?\n\"Answer: -b**3 + b**2 - 65*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = y + 4, -3*l = 5*y - 1769. Calculate the remainder when l is divided by 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 2*d**4 - 3*d**4 + (6*d**3 + 2*d**3 + 6*d**3)*(-4 + 2*d + 4).\nAnswer: 26*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w + 16. Give a(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1897550*k**2 + 1897545*k**2 - 3794369*k**2.\nAnswer: 726*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108))\/sqrt(3))\/sqrt(12).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n**3 + n**2 - n + 14. What are the prime factors of s(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -582387301458219\/3265499567 + 2\/296863597. Let r = n - -177990. Let f = r + 355. Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(7*h - h - 3*h) + 0*h + 3*h - 4*h + 0 - h + 0)*(h - 3*h + 0*h)*(2*h + h - 2*h).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24154*-2.\nAnswer: -48308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from ikqqykfr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y - 1. Let q(i) = i**3 - 2*i**2 - 2*i - 1. Let t(d) = 2*b(d) - 3*q(d). Give t(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 135, 547, 1233, 2193, 3427, 4935?\n\"Answer: 137*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 + 136 + 139 + 24*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.235 + 0.035. Let v = r + 4. What is the second biggest value in v, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2528*c**2 - 144096*c - 6. What is y(-57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91 + 5)\/(4\/(-6)). Suppose -h + 3*j = 7, 3*h + h + 4*j = 20. Suppose -o = -d - h*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842546 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:27 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 1394 = 5466. Solve -341 = -2*x - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.136178447 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43692032?\nAnswer: 2, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*o - 578 + 578 + (o + o - 4*o)*(-1 + 2 + 0) - 3*o + 2 - 6*o + 6*o as g*o + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 22 + 94. Let o(f) = -17*f**2 - 13*f**2 + j*f**2. Let d(b) = -113*b. Determine o(d(s)).\nAnswer: -12769*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1462203 - -2175757933\/1488. Calculate the common denominator of v and 15\/64.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1242160, 1241927, 1241682, 1241419, 1241132?\n\"Answer: -l**3 - 226*l + 1242387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 669279649 and 4.\nAnswer: 669279653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 379178 divided by -46?\nAnswer: -8243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r**5\/20 - r**3 + 181*r**2 + 65*r. Differentiate p(s) wrt s.\nAnswer: 9*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.5 + 16.8. What is the closest to 1 in -2\/13, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/(-704) + -6*(-18)\/(-55).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/21)*y\/(y*y**(-20\/11)) assuming y is positive.\nAnswer: y**(464\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*d + 13*d - 5 - 3 + (6*d - 3*d + d)*(1 + 3 - 3).\nAnswer: 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from {i: 13, f: 3}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15785 + -15787. Is 8691 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -2*k**6\/5 - 3*k**2\/2 - 24*k - 19. Let c(s) be the first derivative of v(s). Differentiate c(l) wrt l.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 3, -0.1, 0.43, -7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23.16 and -473186451.\nAnswer: -473186427.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -384? (a) -178 (b) -1\/6 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 7*o + 8. Let z be p(5). What are the prime factors of ((-1420)\/30)\/(z\/3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Let w(y) be the second derivative of g + 2*y + 1\/3*y**3 - 1\/20*y**5 + 0*y**2 + 0*y**4. What is the second derivative of w(j) wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 1 + 20*y**3 - y**4 - 18*y**3 + 13 + 4*y to i + o*y**4 + k*y + l*y**2 + n*y**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (220 - (-355680)\/(-1620))\/(2 + (-224)\/18)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 1, 938, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - 1. Suppose v - 3*z - 13 = 0, 1 = -v + 5*z + 8. Let c = v + i. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57681790.\nAnswer: 2, 5, 89, 64811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 11*t - 54. List the prime factors of x(16).\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211103 + -2?\nAnswer: 211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 11*h**2 - 10*h + 12. Let q be b(10). Let o = 5 - -2. Suppose -k + o = -q. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.01 (b) -34 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 + 5*j**3 - 402*j**2 + 250279*j wrt j?\nAnswer: -40*j**3 + 30*j - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let x = 7934.5 + -7934.7. What is the biggest value in 8\/5, x, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190.128307 + -0.166307. Let t = 190 - b. What is t rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 255.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 63 - ((-2 - 0) + 4 + -8 + -3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**4 - 8*l**4 + 18*l**4 - 7*l**4 - 18*l**2 + 12*l - 3*l**3 + 24.\nAnswer: 3*(l - 2)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 595 = 3*c - 599, 5*c - 9 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Let y(a) = -a**2 - 2*a**2 + r*a**2 - 4*a**2. Let d(l) be the third derivative of -l**4\/24 + 5*l**2. Give d(y(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6520, -13325, -20180, -27085, -34040?\n\"Answer: -25*x**2 - 6730*x + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*d = -3*v + 1191, 0 = -v + 2*d + 394. Let c = 561 + v. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clll when four letters picked without replacement from lllcclllllcllc.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/(c**(-3)\/c))**16*c**(-3\/2)\/(c*c*c**(-5)*c)*(c**(2\/5))**50 assuming c is positive.\nAnswer: c**(781\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13731713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 5*a + 16. Let h be t(7). Calculate the remainder when (-84)\/(-9) + h\/3 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.7 + -9. Let f = -0.5 - s. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*j + 10 = 0, 3*c - 7*c + j = -5. Let d be -1 + c + -1 - -2. Let v be d\/(3 - (2 + 0)). Solve 0 = 3*t - v - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*d**2 - 35*d**2 - 34*d**2 - 33*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2575*a*g**2 + 924*g**2 + 1 wrt a?\nAnswer: -2575*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + i + 4 = -0*i, 0 = 4*o - 4*i. Let r(j) = -j. Let s(x) = -63*x. Let t(m) = o*s(m) + 42*r(m). Is t(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-1) - (-15 - -2). Suppose 2*v + y*v = 44. Let f be (4\/(-10) - v\/(-10)) + 3. Put -5, f, -1 in ascending order.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 369 = 15*p + 11 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -165, -426, -687, -948?\n\"Answer: -261*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/259 - 950\/665.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369*w + 200*w + 207*w + 4788 = 0. What is the second smallest value in -4, 5, -3\/8, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 2*d - 4. Let y(n) = -n**3 - n**2 - n + 5. Let b be y(0). Let x be h(b). Is (-1)\/2*x*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 1. Let d(c) = -c**3 - 3*c**2 + 6*c + 4. Let h = -1 - 3. Let g be d(h). Let r be 0 - (2 + -1 + g). Calculate a(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04583 and -2.6?\nAnswer: 0.119158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -213142?\nAnswer: 213202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 4, -2\/11, -0.07, -5 in increasing order.\nAnswer: -5, -2\/11, -2\/21, -0.07, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18556 + -7?\nAnswer: -18562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*b**2 - 5*b**3 - 245*b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 3*p**5\/160 - 57*p**4\/16 - p**3\/4 + 171*p**2\/2 - 2162*p. Find k such that w(k) = 0.\nAnswer: -2, 2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(80) - (sqrt(80) + sqrt(80)*6))*3)\/sqrt(2))\/((sqrt(72) - (sqrt(72) + -1*sqrt(72))*-4)\/(sqrt(144)*6)).\nAnswer: 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -508758?\nAnswer: -508758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 2:24 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4126 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1464?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3617 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/6*(-14)\/(-10). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14638\/9, -1\/3, -4 in descending order.\nAnswer: 14638\/9, 3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-156)*260\/(-60).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -49\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 12, f + 5*n - 4*n - 8 = 0. Let u be f\/14 + (-22)\/77. Solve -2*w = -0*v + 4*v + 2, -4*v + w + 1 = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 123?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:22 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 151. Solve -2*z = -6*z + n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1914*f**3 - 1514*f**4 + 2 + 636*f**3 + 633*f**3 + 643*f**3 in the form t*f + x*f**4 + b*f**3 + y + w*f**2 and give x.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 (base 16) in base 3?\nAnswer: -220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6 - 8 + 10)*(-6 + 6 + h).\nAnswer: -3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1431909304 by 80318.\nAnswer: 17828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 60882?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*2 - -17. Let d = -7 + f. Let x(o) = o - 6. Let p(v) be the third derivative of -v**4\/8 + 17*v**3\/6 + 2*v**2. What is d*x(z) + 4*p(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-105) - (-6)\/14. Let p(l) be the first derivative of 1 + 0*l**4 + 0*l + 2\/3*l**3 - r*l**5 + 0*l**2. Find the third derivative of p(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38729901, -77459792, -116189683, -154919574, -193649465?\nAnswer: -232379356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6}. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1154 divide 1233610998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(2\/3)*v)))**22*(v**(2\/5))**31)\/((v\/(v**(-1\/3)\/v)*v)**(-42)*v*v**(-2)*v*(v*v**0*v)\/v) assuming v is positive.\nAnswer: v**(2821\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377959787.\nAnswer: 377959787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/24)\/(4\/(24\/9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -2 (c) 0.3 (d) 138209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 9, 105, 2\/5?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78252672 and 232?\nAnswer: 78252672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131249153*s**2 - 181812264*s.\nAnswer: -262498306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o**2 + 2*o**4 - 166*o**3 - 3 + 163*o**3 + 8*o**2 to c*o + s + m*o**3 + z*o**2 + b*o**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 - 155. Let s = -1.99 - 0.01. Put x, 0.2, s, -1\/6 in decreasing order.\nAnswer: x, 0.2, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 188 - 135. Let x = -52.99932 + q. What is x rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)*2\/8. Which is the second smallest value? (a) -4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -957\/89165 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2670 and 48?\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-4)*(2 + 0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 68.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -109*p**2 + 57*p - 334. Determine s(6).\nAnswer: -3916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 61*o - 60*o. Calculate the greatest common factor of o and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let m be u(0). Suppose -m*a + 6 = -24. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -84*w**3 - 5*w**2 - 12*w - 54. Let r be p(-4). What is the greatest common factor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 - 1) + 16 + -7 + 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532 (base 7) to base 4.\nAnswer: 21203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (-11 - -2) + 6. Suppose 3*a = -s + 290, 1145 = -s + 5*s - h*a. Which is smaller: 289 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + 4*h**4 - 12*h**2 + 0*h**4 + 4 wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324213676 - -0.2\nAnswer: 324213676.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a + 31*a = -10*a + 9418391. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, t: 3, h: 6, l: 3, c: 1, i: 1}. What is prob of sequence lddd?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18739d (base 14) to base 3.\nAnswer: -1121221200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, -36, 5, 1 in increasing order.\nAnswer: -36, 0, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 510*h + 3062. Let z be q(-6). Let b(y) be the second derivative of 1\/8*y**2 - 1\/96*y**4 + z*y + 0 + 1\/48*y**3. Factor b(f).\nAnswer: -(f - 2)*(f + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8702244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 26 = -g + 196, 2*q = 8. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*m + 985119 + 887026 = -3958686. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -324. Suppose -q - 139 = -5*d. Suppose -40 = 3*w - 7*w. What is the highest common divisor of d and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccfwccccyoccccccow. Give prob of sequence fwco.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 4:36 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008525632 rounded to 5 decimal places?\nAnswer: -0.00853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -1, -46, 25.\nAnswer: -46, -5, -1, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27118961.\nAnswer: 17, 173, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -11, -14, -13?\n\"Answer: 2*b**2 - 13*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(88))\/(sqrt(40)\/(sqrt(15)\/sqrt(3))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 1783 + 2562. What are the prime factors of u?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 943 + -933. What is the lowest common multiple of u and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - v - 4*v + (-4 + 0 + 3)*(-4*v + 0*v + 6*v) - 257*v + 195*v - 261*v.\nAnswer: -326*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 9:24 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14 and -79\/522?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 71 - 7 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-384))\/(30\/(-8)). Let v(u) be the third derivative of -u**2 + 0*u + 0*u**4 - 1\/60*u**5 + y*u**6 + 0 + 0*u**3. Determine p, given that v(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 9*q. Let h be g(9). Suppose -l - 3*l - 108 = h. Let x be l\/(-6)*12\/3. Solve 5*v + x = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-143)\/385 - 3\/15. Let v be (-1)\/1 + 7\/4. Put n, 0.4, v in ascending order.\nAnswer: n, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 7. Suppose -2*n + 4*n - 10 = 0. Let j be p(n). Factor -2*a - 6*a + 28*a**j + 2*a - a**2 - 21*a**3.\nAnswer: -3*a*(a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 12429458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*r - 4*w, 0 = -5*r + 9*r + 3*w - 102. Suppose -r = -j - 16. Factor -4 - j + 4*t - 4*t**2 + 12*t.\nAnswer: -4*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 85*l = -27*l - 943939. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -2*m. Solve 1 = 2*p - m*u, -4*p + p - 1 = -5*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + (sqrt(2016) - (sqrt(2016)*-2 + sqrt(2016))))\/(sqrt(88)\/sqrt(396)).\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/35 and -71\/151553800.\nAnswer: 1060876600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -165?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 3, r: 4}. Give prob of picking 1 m and 2 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-24)\/(-6))\/(-1))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1387540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 23. Let v be 7 + (-4)\/(u + 3). Suppose -v*p - 2*p + 370 = 5*t, -3*t + 299 = 4*p. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Suppose -9*v - 72 = -0*v. Let f(a) = a**3 + 8*a**2 - 6*a + 10. Let t be f(v). Let m(r) = -55 - 20*r + t + 6*r. What is m(j(n))?\nAnswer: -28*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*18\/(-60)*(-7 - -17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60780 - 26256. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 3*c + 9*c)*(-359 + 112 + 189 + (1 - 6 + 4)*(1 + 3 - 6))*(3 - 2 + 0).\nAnswer: 336*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-27) - 38\/(-12) and 19\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/2 + h. Let c(w) = 5*w + 5*w - 14*w. Give o(c(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 21*z - 6. List the prime factors of o(17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 5)*(1 - 1). Let x be (u + -2)\/(1 - 3). Solve -2*p - 1 - x = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/115)\/((-18)\/(-15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56773571 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d = 4*y - 16, 0 = 2*d - 2*y - 2. Suppose -d*u + 6 = -u. Suppose -l + 2*l - 16 = -4*a, 3*l + 8 = u*a. Is 1\/3 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2722899280.\nAnswer: 2, 5, 34036241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 17 = -3*f - 1, 3*l - 34 = 5*f. Sort 2, -2, 5, f in descending order.\nAnswer: 5, 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*y + 5*y, -2*y - 5*g + 21 = 0. Suppose -3*z = 4*h - 34, -8*h - 79 = -y*z - 3*h. Let s be (z\/6)\/(1 - (1 - 1)). Solve -s*m - 2 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 1\/3*g**3 + 0*g + 4*g**2 - 6. What is the second derivative of x(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(4 - 117\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7763398012308 + 0.225?\nAnswer: 7763398012308.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 8443 - 225 = 1146. Calculate the remainder when u is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -3*j - 6*u, 0 = -4*j + 4*u + 36. Suppose -z - 2*m = j, 8 = -6*z + 3*z - 2*m. Is z\/(3 - 119\/(-78)*-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 716 = 4*q, -x + 2*q + 0*q + 182 = 0. Let r = 876\/5 - x. Let y be 0\/((-2210)\/85)*((-3)\/(-3) - 0). Is y <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 46*w**2 - 6 + 8*w - 92*w**2 + 45*w**2. Let q be b(7). Suppose -p - 2*p - 4*s + 41 = 0, 3*p - s = 16. What is the greatest common divisor of p and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*k*w + 2*f**3*k - 19*f*w**3 - 4*k*w**2 + 262*k with respect to w.\nAnswer: f**3*k - 57*f*w**2 - 8*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3032 - 1785. What are the prime factors of s?\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(66)\/sqrt(3))\/sqrt(11) + sqrt(2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 792778 bigger than 57872736\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*q - 26*q + 64*q)*(-5 + 3 + 0) + 1 - 11*q - 10*q + 24*q.\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 58*x + 108. Let f be p(27). Let m = 14 - 10. Suppose f*g + v - 57 = -m*g, 15 = -5*v. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2115931 to the nearest one thousand.\nAnswer: 2116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 129*y**2 + 44*y - 41. What is the units digit of t(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*m - 3*b - 404 + 336, -3*m + 18 = -3*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 16*m + 7. Let d be k(5). What is the nearest to d in 0.03, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 14*v = -8*v. Let f = 63 + 194. Suppose v = -4*h + f - 9. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1484*l**3 + 600*l**3 + 439*l**3 + 443*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + s + 1 - 11*s - 2*s + 4*s. Let h be (-2)\/7 - (-81)\/63. Determine a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 2. Let d be l(7). Suppose 4 - d = -2*w. Solve 2*z = -2*z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170072251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/337 + 1021\/1685. Let i = 0.068 + -0.097. Let g = i + -1.971. Which is the closest to 2\/3? (a) v (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30574040 divided by 7.\nAnswer: 4367720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686173893 to the power of 1\/3, to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 2, f: 1}. What is prob of sequence lqq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125)*-1*-4 + sqrt(125))*-4 - (3 + (sqrt(125) + 1 - sqrt(125))*-5 + -1*sqrt(125)*-2 + sqrt(125)))**2.\nAnswer: -860*sqrt(5) + 231129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:22 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 8390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27932.67 hours in milliseconds?\nAnswer: 100557612000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddjdddddjdjddddd. Give prob of sequence jd.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 + 0.55. What is the nearest to 0 in y, -3\/8, -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2370224 (b) -5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u - 2. Suppose 5*l - 111 = -26. Let f(s) be the first derivative of -10*s**2 - 6*s + 2. Let v be (2\/(-6))\/(9\/(-18))*-9. What is l*a(y) + v*f(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/4 + 287*s**4\/2 - 10371*s**3 + 39770*s**2 - 39200*s = 0. What is s?\nAnswer: 0, 2, 80, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429917410 is divided by 214958697.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/15)\/(2\/3). Let s = 226 - 226. Solve -3*i + m - b = 0, -3*i + 3*m - m + 1 = s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 v when three letters picked without replacement from pppvxapvvvv?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**2 - 21*w + 81. Let j(t) = -24*t**2 - 40*t + 162. Let a(k) = -13*f(k) + 6*j(k). Is a(26) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21122092 by -728348.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-5\/2))\/z)\/z**(-9))\/((z\/z**(4\/9))\/z**(-3\/14)))**(2\/29) assuming z is positive.\nAnswer: z**(722\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 415 + w**2 - 415. Let f = -12 - -51. Let o(g) = f*g + 31*g - 77*g. Determine o(p(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 44. Let m = v + -40.96. Let w = -14 - m. Put 0.1, w, 2 in descending order.\nAnswer: 2, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 40 = -14*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 - 5*g**2 - 12*g - 4. Let y(d) = 3*d**3 + 3*d**2 + 8*d + 3. Let f(q) = 5*x(q) + 8*y(q). Suppose f(c) = 0. What is c?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -20, 3*c - 2*i - 2*i + 10 = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1600 - 1604. Which is the second biggest value? (a) 3 (b) -3 (c) o (d) 0.36 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/6*(-413)\/5369\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*s - 24, 5*s - 4*r = -5*r + 11894 - 11912 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180966491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k**2 - 4*k - 14. Let a(v) = v**2 + v + 1. Let n(s) = 4*a(s) + f(s). Differentiate n(c) with respect to c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-192)\/(-4) - (-13 + 8). Let r = y - -121. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9875 (b) -0.3 (c) -1\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 47*x**3\/3 + 12. Let q(i) = 3*i. What is d(q(v))?\nAnswer: 423*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = 6*v - 468. Let p(s) = s**3 - 8*s**2 + 8*s - 4. Let u be p(7). Suppose -u*f - 1 = -4*f. Are f and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 2. Let r be u(2). Let j = -6 - r. Let y = 15 - 10. Sort j, 1, y in descending order.\nAnswer: y, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11200\/600)\/(6\/9)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 14*f**2 + 21*f - 17. Let z be r(12). Let u = -28 - z. Does 13 divide (-6)\/15 + 1235\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1874 in 2, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l + 18 - 18)*(-49 + 273 - 109) to k*l + y and give k.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 118*u + 1. Let h be w(2). Let x = h - 235. Factor 0 + 9\/2*l**x + 5\/2*l**4 + 6*l**3 + l.\nAnswer: l*(l + 1)**2*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from axxxxaxxxxxaxxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u**3 + 3*u**2 + 4*u. Let i(z) = 9*z**3 - 2*z**2 - 2*z. Let j(k) = -4*b(k) - 6*i(k). What is the second derivative of j(t) wrt t?\nAnswer: -108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -11\/6 (c) -17 (d) 338 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/81 - (-20)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, a: 1, y: 1, c: 10}. What is prob of sequence yc?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2.7 (c) -0.3 (d) 0.3 (e) 122\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1120221 (base 3) to base 10\nAnswer: -1159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*l + 33 = 0, -93 = -4*c - l - 106 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 46. Suppose 3*k - 618 = 3*w, -i*k + 432 = -w + 3*w. List the prime factors of k.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i + 1. Let r be -2 + i + (-2 - -10). Does 13 divide ((-26)\/(-4))\/(r\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1046 and 85\/16.\nAnswer: 8368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6375, 6398, 6421, 6444?\n\"Answer: 23*j + 6352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1893 - 735.9107. Let o = j + 737.16307. Let w = o - 0.062. Round w to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:18 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2036642 - -2?\nAnswer: -2036640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -119*a + 469. Give p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14135, 28562, 43217, 58100, 73211, 88550?\n\"Answer: 114*q**2 + 14085*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + -0.16. Let q = a + 0.107. Let r = q - 0.0067. Round r to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j + 5*a - 60, j - a = 27. Let p = j - 25. Let o(y) be the first derivative of -y**4\/4 + y**3\/3 - y**2\/2 + 6*y + 59. Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/8 and -43\/7340?\nAnswer: 14680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 24, -3, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-5)\/380). Let t = n - -58. Let m = -37 + t. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.4 - -11.5. Let a = 11.1 - v. Let y = -60.999929 + a. Round y to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 c, and 1 a when four letters picked without replacement from qqgqyqqayeagecqq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - ((-24 - -6) + 9)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 2. Let u be y(-2). Let g be (6\/u + -1)*(2 + 130). Let q = -293 + g. Round q to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 138?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.164569 + -0.15614. Round u to four decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18140226 is divided by 1425.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287606207 - 343.\nAnswer: 287605864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + y + 3*y + 8, -3*d - 8 = -2*y. Let b be -4 + d*(-10)\/6. What is the greatest common divisor of b and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 1. Let x = -34 - -35. Let z(t) = 9*t - 6. Calculate the least common multiple of z(x) and i(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*j - 5616 = 0, 0*j + 5619 = 3*a + j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.1, 3\/5, 28\/15, -191?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34 - 0.49.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 321\/574 - -1\/82. Let j = -716 - -2146\/3. Which is the nearest to j? (a) u (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -973 divided by -2116.\nAnswer: 973\/2116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -1\/5, -1.\nAnswer: -1, -1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + (0 - 37) - 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 - 30 = 22*n + 4*f, -85*f + 89*f = 4*n + 84 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnxbexxxn. What is prob of picking 2 x, 1 e, and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 233718, 934849, 2103390, 3739335, 5842678?\n\"Answer: -c**3 + 233711*c**2 + 5*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 197225600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10536, 4168, -2200?\nAnswer: -8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2 - 42. Suppose 0 = k + t - 22. Suppose -3*m + 48 = 3*z, -3*m + 17 = -k*m + 2*z. Calculate the least common multiple of 36 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 * -434113\nAnswer: 1606218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 156 = -3*b, 3 + 12 = -3*b. Suppose -2*w + 48 = -2*l, 88 = -4*l - 6*w + 2*w. Let f = l - q. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 343, -5, 5 in descending order.\nAnswer: 343, 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -2\/5, 0.3, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - -13. Find the first derivative of -27 + 2*z**3 + p - 4*z**3 wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.753 or -305?\nAnswer: -2.753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -22, -37, -68, -121, -202, -317?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 12, -56172, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*n = 2 - 10, -12*k - 6*n + 18 = -16*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (15\/12)\/(-1). Let b = 53\/4 + -13. Factor -1\/4 - 1\/4*x**4 + 1\/2*x**3 - b*x - j*x**5 + 1\/2*x**2.\nAnswer: -(x - 1)**2*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*r**2 + 151*r**2 + 3*r**3 + 83*r**2.\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 - 11*h + 20. Let t be k(9). Suppose -3*w - a + 279 = t*a, 5*a = 15. Is 30 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 + 2399 = 7*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 26, 48, 3, 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92 - (3 - 0 - 0). Let x = y + -62. Suppose -q + 24 = 5*c, -2*c = -5*c + 9. Calculate the greatest common divisor of x and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3628624171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zztttttttzt. Give prob of sequence ttzt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5*d + 4. Let t be g(4). Suppose 87*s = 101*s - 14. Let r(x) = -46*x + 73. Let l be r(s). What is the biggest value in t, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a + 49*a + 51*a as g*a + j and give g.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 5*b**5 - 1 + (-1 - 2 - 2 + (-3 + 1 + 0)*(-5 + 3 + 1) + 0 + 1 + 0)*(-119*b**5 + 11*b + 60*b**5 + 61*b**5).\nAnswer: b**5 - 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 3, d: 1, n: 1}. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10201021202012210?\nAnswer: -10201021202012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1\/4 (c) 11 (d) 108 (e) 0 (f) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/10 (b) -0.2 (c) -18\/13 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5, o: 13}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16635 and 2095?\nAnswer: 6970065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 42. Let r be 7 - (-57)\/(-9) - 52\/6. Let k be j(r). Solve i = -2*d + 5*i - 12, -5*d + 2*i = -k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 136011*x**3 + 18*x**2 - 43*x + 23. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1452 - (-53284)\/121968.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**3 - 12*b**2 + 159*b - 2386. Is u(14) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 368.4939 years?\nAnswer: 0.3684939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -297?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 14) to base 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886762.5 centuries to decades.\nAnswer: 8867625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 443*a**2 - 2664*a - 13468. What is x(449)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (2 - 8 - -2) - 8 - 1 - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3)\/((-26)\/78)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhwwzwwh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5 + 6\/5*p**3 - 6\/5*p**2 + 3\/5*p**4 - 3\/5*p - 3\/5*p**5.\nAnswer: -3*(p - 1)**3*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1021*z - 0*z - 1638*z + 24*z - 368900 for z.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62567 and 290852.\nAnswer: 10761524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 845.9543 times -4\nAnswer: -3383.8172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i - 124. Let r be m(-6). What is the closest to r in -1\/5, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 62?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 434 * -5\nAnswer: -2170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -30, -25, -6, 33, 98, 195, 330?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26998 and -3.1.\nAnswer: 26994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2279816, 12, -2 in increasing order.\nAnswer: -2279816, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11125180 divided by 18238\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 15*v**2 + 2454*v + 39530. What is h(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {h: 8, i: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2820303 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 18*m - 12. Let q be v(8). Suppose q*k + 48 = 2*k + 2*l, -5*l - 12 = k. Let h = 34 + k. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374659 is divided by 26761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 11*q - 108. Suppose q + 5 = z + k, 2*k = -z + 14. Solve -12 - z = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191.82195 - 0.056\nAnswer: -191.87795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 + 59*q**2 + 25*q + 15. Let v(p) = 11*p**3 + 89*p**2 + 38*p + 24. Calculate 8*l(r) - 5*v(r).\nAnswer: r**3 + 27*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -252 from -3.48.\nAnswer: 248.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/(1 - (0 + 2)). Let b = w - -89. Suppose 4*y + 30 = 2*n, n + y + 3*y = b. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0 + 0 - 1 + 1 - l + (-l - 6*l + 5*l)*(1 + 1 - 3) + 4*l - 4*l + 2*l)*(258 - 107 + 73) to the form x + f*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81202045 is divided by 3667?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**3 - 10*j**2 + 34*j + 15. Let p be v(6). Suppose -4*a - 3*x = -5329, 5*a + 3*x = 5939 + p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13249 divided by 18219\nAnswer: -13249\/18219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 60878 (base 9) to base 8\nAnswer: 116225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-2)\/2 + 1). Find the first derivative of c**2 + 5*c**2 + 4 - 6*c**a + c**4 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177310765.8 microseconds in weeks?\nAnswer: 0.0002931725625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -11.\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmgvmggghvvv. Give prob of sequence hgh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z = 51*z + k + 11, -z - 10*k = -54 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2295, -2442, -2589, -2736, -2883, -3030?\nAnswer: -3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3 (b) 4\/3 (c) 5.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 0*g + 2 - 6*g**2 + 2 - 4*g. Let z be w(-5). Let b(q) = -9*q + 15*q + 3*q - 18 + 19. Give b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 5:31 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7422121?\nAnswer: 7, 1060303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) -0.1 (b) 301 (c) -3 (d) 0.004 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let o be 23\/69 + 10\/6. Let h(f) = -3 + 3 + 11*f**o - 7*f**2. Calculate g(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2280\/17 - -134. Let v = 0.41 - 4.01. Let u = v - 0.4. Which is the closest to -1\/4? (a) l (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184496, -1184478, -1184460, -1184442, -1184424?\nAnswer: -1184406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 15. Let f(l) = -11*l - 4. Let o(c) = -17*c - 6. Suppose -7*g - 72 = 2*g. Determine g*f(d) + p*o(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19814946?\nAnswer: 2, 3, 29, 263, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:04 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lehhhhlehhhh. What is prob of sequence hh?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(1\/(-15)). Let w be (4\/5)\/(5\/25). Suppose p + w = j. Calculate the remainder when j is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 192 + -189. Suppose 4*p - 3*u - 5 = 7, -p - u - 4 = 0. Sort -2\/9, c, p in decreasing order.\nAnswer: c, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(208) - (sqrt(208) + 1*sqrt(208))*-4)\/((sqrt(20)*-3)\/sqrt(5)) + 1.\nAnswer: -30*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a + 6*a + 5*a**2 + a**3 + 3*a**2 - 9. List the prime factors of p(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 127*d - 4571. Determine q(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8910 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-1 - -4) - 5. Suppose -5*f + 44 = c*n - 54, -2*n = 3*f - 64. Calculate the highest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(550) + sqrt(550) + 3*sqrt(550)*3 + sqrt(550))\/sqrt(10))\/(sqrt(30)\/sqrt(6)*6*-1).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**4 + u**2 + 0*u**4 + 0*u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25647979457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - sqrt(198)*3)\/sqrt(6) - (-3*sqrt(330))\/sqrt(10))\/(sqrt(84)\/(sqrt(28)\/sqrt(4)*2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8832000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**29)\/(a\/((a**16*a)\/a)))\/(a**(9\/8))**(-40))**5 assuming a is positive.\nAnswer: a**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 97?\nAnswer: -6\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1184.48 + 1220. Let r = 0.08 + i. Round r to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1441.9999996105 + -1442. Round h to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -7, -14, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2 (b) 324505 (c) 4 (d) -4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.919 take away 1?\nAnswer: 121.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605685692.\nAnswer: 2, 8669, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/13267 + 941975\/79602. Let u = 29222537\/194 - 150632. What is the common denominator of l and u?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17594498*k**5 + 47*k + 9315 wrt k.\nAnswer: 351889960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50050422 and 18?\nAnswer: 50050422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3576663910 + -171.\nAnswer: -3576664081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*v - 1977 + 5387, 3*v - 2728 = -4*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 15*x + 36. Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.185 (b) 0.3 (c) -84 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207840 divided by 1?\nAnswer: 207840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -3*z - 336. What is the remainder when 148 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llg when three letters picked without replacement from {j: 2, u: 2, g: 5, c: 3, l: 6}?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6\/13, -11, -0.5 in descending order.\nAnswer: 6\/13, -0.1, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2069.242 years to centuries.\nAnswer: 20.69242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4 = 0, 18*p - 8 = 23*p + 2*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, i: 5}. What is prob of sequence iyy?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f**2 + 7500 - 7501 - 7*f**2. Let q(x) = 2*x**2 + 7*x - 4. What is 4*l(h) - q(h)?\nAnswer: 2*h**2 - 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 2:53 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15177\/11 or 1379?\nAnswer: 15177\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, m: 1, l: 1, q: 2}. Give prob of sequence mq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2068273694?\nAnswer: 2, 1034136847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*n**5*w - 6*n**4*w + 3*n*w - 31 wrt n.\nAnswer: -620*n**3*w - 72*n**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 0*b**2 - 3 - 9*b**2 + 3. Let o(y) = -14*y**2 + 5*y. Let f(x) = 7*x**2 - 3*x. Let c(a) = 10*f(a) + 6*o(a). What is c(v(i))?\nAnswer: -1400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 2\/17, -3.\nAnswer: -3, 2\/17, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100*(1 + (-9)\/15). Calculate the greatest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26433224 (base 7) to base 13\nAnswer: 670520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11314399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760291 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 25*n + 162. Give r(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let x = 15 - 13. Let p(i) = i**d + 2*i**2 + 2*i**x - 3*i**2. Let z(h) = -4*h**2. Give p(z(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 9*d**2 + 20*d + 25. Let u be f(11). Solve -2*p + 9 = -0*n + 3*n, 2*n - 19 = u*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(2*sqrt(3900) - sqrt(3900)) - (sqrt(3900) - 1*sqrt(3900))*1)\/((sqrt(33) + (sqrt(99)\/sqrt(12) - sqrt(33)))\/(sqrt(11) - sqrt(1331)*1)))**2*-4.\nAnswer: -74880000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -4*g - 247, g - 3*q = -2*q + 4*q - 182 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -1118, -2458, -4330, -6734, -9670?\nAnswer: -13138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u)**(3\/20)\/(u*u\/(u**(-1\/14)*u))**(-26) assuming u is positive.\nAnswer: u**(9771\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 495603504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39120 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.92881 hours in minutes?\nAnswer: 2215.7286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 0, -3, 3\/7, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -2.1. Let l = -0.03 + 5.03. Which is the third smallest value? (a) k (b) l (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 greater than 2196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*a*i**2*l**3*q**2 + 2*a*i*l**3*q**2 - 4*a*i*l**3*q - 6*a*i*l**2*q + 2*a*l**2*q**2 + 598*i**2*q**2 + 178*i*l wrt i.\nAnswer: 74*a*l**3*q**2 + 1196*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 72*w**2 + 19*w + 71. What is the remainder when u(21) is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 252700865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.19? (a) 3 (b) 5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87133.61l to millilitres.\nAnswer: 87133610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 3*k - 7*k. Let d = -11 + 11. Let u be 5*3\/(d - -3). Determine c(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318684*y**3 + 238*y**2 - 349.\nAnswer: -1912104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:17 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*v = 141968. Suppose 88741 = 5*m + 4*w, 3*m - v = -m - w. Suppose 5*k + d + 4758 + m = 0, 3 = -d. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176)*-2)\/(2*sqrt(294)))\/(sqrt(4050)*2*2).\nAnswer: -sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916670 is divided by 53908?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 857, 712, 391, -172, -1043?\n\"Answer: -11*f**3 - 22*f**2 - 2*f + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(-1)*8\/(-3). Let z(f) be the first derivative of 0*f - f**2 + 2\/3*f**3 - o. Find the second derivative of z(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 6*h - 4. Let j be k(-6). Let i be ((-3)\/7)\/((-6)\/j). Let d be 66\/(-440)*-5*1. Which is the biggest value? (a) -2\/11 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 20*u - 3 - 2*u**2 + 6*u**2 - 13*u + 1. Let t be d(-5). Suppose t*h = 61*h + 6. Put 5, -5, -3, h in increasing order.\nAnswer: -5, -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*j - 0*n - 8, -5*j - 2*n + 8 = 0. Let k be j\/1 - (-606)\/(-3). Is k\/(-8) - (-2)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 141988?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 + -313.8. Let k = c - 4.200000784. What is k rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61\/63372 or -1?\nAnswer: -61\/63372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 + 303. Let v = -258 + s. List the prime factors of v.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (224\/40)\/((-483)\/(-1380))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -10 - 15*a - 15\/2*a**2. Find the first derivative of r(c) wrt c.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4063455 + 8404355. What is x rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/4)\/(-8))\/(-1 - 52\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*k**5 - 57*g - 5794*k**6 + k**2 + k - 2 wrt k?\nAnswer: 180*g*k**2 - 695280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y + 2*h, 31*h = y + 34*h + 4. Solve -2*i - 4*k - 2 = 0, -3*k = y*i - 3*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 5, -0.09928?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11165 and 3.\nAnswer: -33495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - -7)*8\/(-6). What is the second derivative of -9*a + 2*a**s + 0*a + 3*a wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2623*n*r**3 + 1928*n - 23530368*r**3 wrt n?\nAnswer: 2623*r**3 + 1928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = 3*d - 486, -o - 3*d = -86. Let h = 83 - o. Let g be -1830*((-65)\/h - 1). Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from mwdjmjljjmmjmemml?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -782 (base 16) to base 15\nAnswer: -882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 30*f - 975. What is d in f*d - 1535 + d**3 + 812 + 14*d**2 + 823 = 0?\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {s: 1, a: 3, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*i - 9 = 7*i, -5*i - 15 = -4*n. Let p be n*-3*1\/(-6). Solve p = -d - 4*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 10. Let y be x(-7). Let f be 5 - (3 - -1 - y). Suppose 0*w - f*b - 10 = w, -w = -2*b - 8. Solve -a + w = -0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 30. Suppose -4*i = -i - 5*v - 81, 0 = 3*i - 2*v - 72. Let s = i - n. Calculate the lowest common multiple of s and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) + (sqrt(152) + (-3*sqrt(152) - sqrt(152)) + sqrt(152))*-2 + sqrt(152)))\/((sqrt(968) - (sqrt(968) + sqrt(968) + 3*sqrt(968)))*-1).\nAnswer: 9*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weeweewewweuwwewe. What is prob of picking 2 w?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f + 10500 = -67*f. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8552 is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 11.9. Let q = 0.3 - 0.1. Which is the nearest to v? (a) 0.1 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 8*n. Let m be t(-8). Suppose m = -0*k + 2*k - 18. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39244572.\nAnswer: 2, 3, 1090127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643218 divided by 177?\nAnswer: 3634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -32?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 8*a - 53. Let o be n(4). Let j(h) = -h - 6. What is j(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 96\/(-108)*(-3)\/24*6. Let b(l) be the first derivative of 1\/4*l**4 + 0*l - y*l**3 + 0*l**2 - 1\/6*l**6 + 2\/5*l**5 + 1. Factor b(z).\nAnswer: -z**2*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:29 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(10 + (-252)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 8. Let v be z(-5). Suppose -83 = -t - v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368621 divided by 1.\nAnswer: 368621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(5\/2)*v**(-13) assuming v is positive.\nAnswer: v**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176.24 + -3.76. Let p = 179.999999769 + u. What is p rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + 3*(-1 + sqrt(162)) + 4 + 2.\nAnswer: -1 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2. Let h(w) be the second derivative of -5*w**4\/6 + 930*w. Give t(h(a)).\nAnswer: -500*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 139, 90, 21, -74, -201, -366, -575?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5246389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(18007\/(-9778)) - (-48)\/88. Are g and -2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3200128, 3200121, 3200114?\nAnswer: 3200107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/130)\/(1*14\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2\/((-24)\/9). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 21 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/(((c\/(c\/(c**7\/c)*c))\/c)\/c)*(c**0)**(4\/15))**40 assuming c is positive.\nAnswer: c**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*m = b - 20, -5*m - 42 = -2*b. Let g = 19 - b. Factor o - 2 + 2*o**3 - o**4 + o**g + 3*o**2 - 4*o**3.\nAnswer: -(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujj when three letters picked without replacement from {u: 2, d: 1, j: 2, w: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - 0.01. Let p = h - -0.04. Let z = 0.2 - -0.3. Which is the closest to p? (a) 4 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*b = 4, 0 = -2*v - 3*v - b + 11. Factor -2\/5*s - 6\/5*s**2 + 0 - 2\/5*s**4 - 6\/5*s**v.\nAnswer: -2*s*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**5\/4 - 12*h**2 - 8*h. Find the first derivative of s(v) wrt v.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lclg when four letters picked without replacement from {c: 1, g: 7, s: 2, j: 1, l: 4}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 140\/(-56)*(-16)\/10. Differentiate -16 + o*k - 4*k - 5 - 16*k**2 with respect to k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1908563 or 0?\nAnswer: -3\/1908563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76, -87, -112, -157, -228, -331, -472, -657?\n\"Answer: -j**3 - j**2 - j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064389 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202030 - 1?\nAnswer: 1202023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 22*x**3\/3 + x**2\/2 + 2*x. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356859, 713380, 1069901, 1426422, 1782943, 2139464?\nAnswer: 2495985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23437 and -0.4.\nAnswer: -23437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/170)\/((-1156)\/21675)*(-48)\/40?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 14 + 26. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*v = 11 - 3, b + 2*v = 7. Solve 2*l - 30 = 2*o + 2*o, b = -4*l - 5*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 71. What is the closest to -2\/3 in 0, -17, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 8. Let a be l(-9). Solve 5*b + r = -a + 24, -3*r + 9 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 14*u + 17. Give t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/81604 and 19\/5336.\nAnswer: 4733032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -469.8 smaller than 117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (0 - -1) + -5. Which is the nearest to -2? (a) -2 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 2. Let x be t(0). Let n = x + 5. What is the remainder when 11 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6192496 (base 10) in base 16?\nAnswer: -5e7d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 331 (b) 1 (c) 0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((27\/15)\/(-3))\/(-4 - -1). Let o = -15 + 14. Sort 1, o, r, -0.5 in decreasing order.\nAnswer: 1, r, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*w = -490 - 423, 4*w = 5*b - 4507. What are the prime factors of b?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(3))*5)**2.\nAnswer: -200*sqrt(3) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggjgjjgjg. What is prob of picking 2 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 15564*s + 8 - 143 + 117 as a*s + f and give a.\nAnswer: -15564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73184?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197 + 405 - 11*x - 195)*(-9 + 2*x + 9).\nAnswer: -22*x**2 + 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231.31 - 230. What is n rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5964451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -7, 0 = 3*x - 3*o. Let r = x + 0. Solve 2*i - 4*i**4 + 0*i**4 - 4*i**r + 4*i**4 + 2*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.3002304 + -41.3. What is m rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48321, -48320, -48319, -48318?\nAnswer: -48317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563513.\nAnswer: 3, 7, 74453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, -44, -140, -284, -482?\n\"Answer: -c**3 - 15*c**2 - 2*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l*x**5 + 2*l*x**3 - 4866*l*x**2 - 2*l - 69*x**3 wrt x.\nAnswer: 840*l*x**2 + 12*l - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(72) + 5)**2 - (3 + (-2 + sqrt(72))*-6)**2.\nAnswer: 714 + 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 55487*a - 28*a**2 + 55491*a.\nAnswer: -36*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1031332643 + -1?\nAnswer: -1031332644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*t + 4*t. Let c(o) = 2*o + o - 2*o - t + 0*o. Let k(j) = 2 + 2 - 5 + j. Give -3*c(i) + 4*k(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 21*z - 4. Let v(c) = c**3 + 10*c**2 - 10*c + 19. Let f be v(-11). What is the tens digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - g)*(2*g + 1 - 1) + (0 + g + 0)*(8*g + 21 - 21) + (2*g + 3*g - 6*g)*(5*g + g - 3*g) - 4*g**2 + 3*g**2 + 2*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**4 - 6*z**3 + 7*z**2 + 6*z - 18. Let u(x) = -3*x**4 - 2*x**3 + 2*x**2 + 2*x - 5. Let i(d) = -2*c(d) + 7*u(d). Factor i(k).\nAnswer: -(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 6:57 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-159 + 171*c + 227*c - 232*c).\nAnswer: 332*c - 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Suppose 4 - 21 = 3*x + 5*h, x - h = 5. Let j(s) = x - 1 + 5*s**2. Calculate j(b(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 6*y. Let r(i) = i**3 + 5*i**2 + 3*i. Let x be r(-2). Let s be b(x). Is 0 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -6?\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 24 - 5*j + j**3 - 13*j**2 - 12*j - 6*j. Suppose 12 = 36*m - 35*m. What is the smallest common multiple of p(15) and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t + t**2 + 1 + 0*t**2 - t. What is the units digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a = 405 - 45 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -1*(sqrt(175)\/sqrt(5) - sqrt(35)))\/((sqrt(120)\/sqrt(3))\/sqrt(8))*4 + -2.\nAnswer: -2 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4266810 (base 9) to base 13\nAnswer: 6216cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/5, -11, 0.4, 221?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3404909450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24250, -96937, -218068, -387637, -605638, -872065, -1186912?\n\"Answer: g**3 - 24228*g**2 - 10*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14766*s**4 - 16*s**3 + 17217979*s.\nAnswer: 177192*s**2 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*((-14)\/25)\/((-3)\/315). Suppose t*x = 282*x + 11376. List the prime factors of x.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by 5.\nAnswer: -339\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(10168\/205))\/((-24)\/864)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**3\/6 - 6*n**2 + 1404*n. What is p(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 31774 = 7*x - 12*x, 42377 = 4*j - 5*x. List the prime factors of j.\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 170 = -50. Let l = -51 + z. Solve -l*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, n: 17}. What is prob of picking 1 n and 1 r?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 62 = -2*c, 308 = -5*h + 6*c + 394. Solve 2*a + 1 = 3*u, -a - 6 = h*u - 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.781 + -0.5255. Let x = t - -0.0445. Do 2\/7 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.536 + 2.536. Which is the smallest value? (a) -4 (b) -396 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2931*x**2 + 1946535*x - 3061. Determine c(-1017).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24015 + 24015. Solve i = 28*k - 26*k - 14 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 10 = 32 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-54165*o**2 + 54165*o**2 - 92*o**5).\nAnswer: 92*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -12 + -31 + 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 9*y**2 - 4*y - 2. Give d(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34570307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, f: 6, i: 4, d: 1, w: 6}. Give prob of sequence iiwd.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -56\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2477814 divided by -17826?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621 = 11*v - 182. Let o = 109 - v. Suppose -25*g - 2640 = -o*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnsosssoxxto. What is prob of sequence ssx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -4\/811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f + 3618 = -241*f + 488 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknkkknrn. Give prob of picking 3 k.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 1\/7 (c) -100\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 276126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 8 = -4*s. Suppose -4*y + 5 = -7. Suppose -y*k - 13 = -2*a, a + 5 = 2*k + 13. Solve -s*m - 9 = 4*n - 27, -a*n + 14 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/51 in -127, 1, 485?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 6*p + 6. Let q(r) = r - 3. Let a be q(8). Calculate m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-264)\/(-40) + 3\/(-5). Let t(s) = -s + 1. Suppose 1 = 3*p - 2. Let o(g) = 5*g - 4. What is c*t(z) + p*o(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16441 times 0.184\nAnswer: 3025.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - 55. Determine y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137286199?\nAnswer: 137286199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.5 times -5?\nAnswer: -62.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 > -665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 2*u - 2*h = -3*u, 0 = 5*u - 0*h - 18*h + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463*n - 1652 = -467*n. Calculate the remainder when n is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395.133 - -396. Round a to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 50.7. Which is the second smallest value? (a) r (b) -4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -25.\nAnswer: 21\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 68?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 22. What is the highest common factor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 40. Let l be m(7). Solve j = l - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -67\/10*x**6 + 0*x**3 + 0*x**5 + 0*x**4 + 117\/2*x**2 - 18*x + 0. Differentiate a(w) with respect to w.\nAnswer: -804*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2347*w + 315. What is the thousands digit of j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/23))**(-34)*w**(1\/13)\/(w*w**27) assuming w is positive.\nAnswer: w**(-17631\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q - 121 - 430 = 359 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28949483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*t - 40 = 0, 0 = -5*a - 178*t + 179*t + 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/32339 and 83\/4430.\nAnswer: 323390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -44*f + 40*f. Let v(w) = w + 195. What is the hundreds digit of v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.097876 to 4 decimal places.\nAnswer: -0.0979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/2 (b) 0.3 (c) -2\/9 (d) -0.205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 7. Let z(c) = c. Let g(v) = -p(v) + 3*z(v). Suppose 0*l + 7 = l. Let s be g(l). Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305561*c - 84335*c - 189728*c - 378181*c.\nAnswer: -957805*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2. Let i(w) be the first derivative of -17*w - 19 + 0*w**2 - 2\/3*w**3. Let o(f) be the first derivative of i(f). Determine z(o(j)).\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1187 = 5*d + s, 0 = 2*d + 6*s - 10*s - 466. What is the derivative of i + i**2 - 221*i**4 - i**2 + 51 + d*i**4 wrt i?\nAnswer: 64*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 divided by -79.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30 + 2\/2)*-1. Let y = -3 - -8. Suppose -26 = -4*x - y*s, -3*s - 11 = 3*x - v. Solve 4*o = -4*w - 12, 3*o = -w - x - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 + 2)*(-1)\/(15\/5118). Let v = j - 2290. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23756.29um?\nAnswer: 2.375629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i*i**16*i*i)\/(i**(-4\/15)\/i**(15\/4)) assuming i is positive.\nAnswer: i**(781\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-327)\/(-545)*5\/385*35.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9048028 decades?\nAnswer: 0.09048028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1b14 (base 13) to base 10\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 51*y**2 - 13*y + 4. Let b be l(10). Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5055)\/10*(0 - 8\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*i - 6, 34*g + 59 - 37 = -5*i + 31*g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (31 + -11) - 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 417526?\nAnswer: 20876.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*g - 17, -g + 2*q + 0*q - 2 = 0. Suppose g*a = r + 1, r + 3*a = 2*r. Solve r*s = -0*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (13 - 3)\/(-2). Suppose -o*l - 13 = -4*j, 2*j - 4 = j + l. Solve 0 = -v + j, z = 2*z + 4*v - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/11932220 and 101\/940.\nAnswer: 560814340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*j = 12746 + 67530 - 18599 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:45 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -17. Let h = 6 + y. Let p = h - -19. Sort 0, p, -0.1 in descending order.\nAnswer: p, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1696 + 1696 + 22*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 4*o)*(-2*o + 20 - 13 - 8)*(8 - 1 - 2).\nAnswer: 20*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -9\/2*b**2 + 153\/2 + 12*b = 0.\nAnswer: -3, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:39 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 8.467 (b) -10 (c) 21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027838 times -0.37?\nAnswer: 0.01030006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 2890390.\nAnswer: 5780780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7466 + 17990. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 138. Let b(j) = -j. Calculate f(b(n)).\nAnswer: -2*n + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -416*p**2 + 3. Let l(a) = -a**2 - 1. What is -2*k(c) - 6*l(c)?\nAnswer: 838*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 3*r + 2. Let f be k(1). Suppose f*n - 219 = -c, 2*n + 3*c = 234 - 9. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/190)\/3*(67340\/(-91))\/148.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -24. Let i = -144 - -194. Suppose 0 = -q*t + i + 76. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2299) - (-2*sqrt(2299) + 1))*5)**2.\nAnswer: -41250*sqrt(19) + 12932500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1741*i - 22648. Determine f(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296394 by -6.\nAnswer: -49399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1053211.\nAnswer: 3\/1053211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 56 + 0*r - r**2 + r + 56 as c*r**3 + f + b*r**2 + o*r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7068688 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*p - 9*v - 566 = -38*v + 12*v + 13*v, 5 = 4*v - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*f + 25, -13 = -c - c - 5*f. What is the highest common divisor of c and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/7 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 - -26)*273\/(-2). Let j = d + 2392. List the prime factors of j.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 - 4*r + 2. Let k(v) = -9*v**2 - 4*v + 3. Let u = 185 - 180. Let q(j) = u*i(j) - 4*k(j). Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*k + 104 = 0, -k = 3 + 2. List the prime factors of 618\/4*g\/(-21).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/8 (b) 2\/21 (c) -2\/5 (d) -3\/5 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 2. Suppose 0 = 3*o - 7*o + 8. Suppose -q + 4*y = -l, 2*q - o*y - 3*y = 20. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -7. Let l = 13.74 + w. Let j = l + 0.06. Put 2\/9, j, -1 in ascending order.\nAnswer: -1, j, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*x + 6, -7*x = -5*j - 6779 + 6755 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12.83933*0.4\nAnswer: 5.135732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4758744, -9517513, -14276300, -19035099, -23793904?\nAnswer: -28552709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, a: 1, n: 4, i: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 22 = -q + 5*j, -3*q = 2*j - 15. Solve 4 = -q*s + 11*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -216, -211, -206?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 82.9?\nAnswer: -66.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/22)*n)\/n)\/n**(-2) assuming n is positive.\nAnswer: n**(65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 12 (c) 2\/77 (d) -5 (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718572139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 19 = -3*m, -4*b + 3*m = 1. Let f(y) = 5*y - 2. Let j be f(b). Solve o = -o + j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + 11*k - 54. Solve 0 = k*f - v, -f + 18*v = 13*v + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.4, -1.88, 5, 1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**7\/2520 + m**5\/60 + m**2. Let p(z) be the third derivative of h(z). Let j(k) = -6*k - 4*k - k + 10*k. Give j(p(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -216 - -265 - (0 - 3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-4))**4*(x*x**17)\/x**0)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111960337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 4, i: 2, c: 6, f: 1, l: 2}. What is prob of picking 1 f and 3 e?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.44166 rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 1. Let y(k) = -2*k**2 + 8*k - 7. Let p(w) = -3*a(w) + 3*y(w). Find v, given that p(v) = 0.\nAnswer: 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(9 - (-1 - -12)). What is the closest to s in 2\/19, 3, 113?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 236*t + 118*t + 118*t + 2*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 451*n - 447*n + 8, -n + 4*p + 16 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + f**2 - 4)*(2 + 1 - 1)*(4 + 0 + 0) + 2*f**2 - 30*f**2 - 60*f**2.\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suss when four letters picked without replacement from {s: 18, u: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6792.291ml to litres.\nAnswer: 6.792291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6411.\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47601206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1003? (a) 0 (b) -0.2 (c) 0.415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:32 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y**3 - 30*y**4 - 31*y**3)*(y + 4 - 4) + (-2*y**5 + 0*y**5 + 4*y**5)*(0 + 1 + 1).\nAnswer: -26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2028 and 1989?\nAnswer: 103428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 23. Let b = v + 6. Suppose 0 = 4*h + 2*u + 2*u - 760, 0 = b*h - 2*u - 964. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810361 is divided by 905161?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-186)\/(-47) + 564\/13254. Solve -34*g = -38*g + m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 366*h**2 - 5*h + 4. Let m be g(1). Let w = m - 329. What is the highest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331) + 2)**2 - ((sqrt(110)*2)\/sqrt(10) - (-2 + sqrt(891) - sqrt(891)))**2.\nAnswer: 36*sqrt(11) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*((4*z**4 + 0*z**4 - 2*z**4)*(-1 + 2 - 2) + 0*z**4 + 0*z**4 + z**4 - 3*z**4 + 3*z**4 + 3*z**4).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1032, -1994, -2902, -3756, -4556?\n\"Answer: 27*s**2 - 1043*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 443773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-64)\/(-4) + (1322244\/(-795))\/189.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let t(i) = -8*i. Let n(w) = 5*k(w) + t(w). Let f(c) = -c. Give -7*f(y) - 3*n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/6 + 110*h\/3 = 0.\nAnswer: 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(12\/17)*t**(-7)*t*t**(-2\/9)\/t assuming t is positive.\nAnswer: t**(-1213\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 171*i - 2*i + 7378 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w + 1. Let f(a) = -1064*a + 154. Determine 2*f(s) - 308*t(s).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(116\/145 + ((-303)\/5)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8*h**2 + 9*h - 6*h + 4*h**3 - 7*h + 2*h**4 + 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + s**2 - 5*s + 5. Let w(q) = q**3 + q - 1. Let k(p) = p - 13. Let r be k(12). Give r*x(b) - 5*w(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:49 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054922.\nAnswer: 2, 11, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 10140?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8385857409 rounded to four dps?\nAnswer: 0.8386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4699706 - -2.47. What is k rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-1)\/l)\/l*l)\/(l*l\/l**(-1\/9)) assuming l is positive.\nAnswer: l**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5807?\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 1768*j - 1740*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -256?\nAnswer: 255.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 + 2*o**2 + 12 + 83)*(10*o - 2*o - o).\nAnswer: 14*o**3 + 1078*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5086 is divided by 5038?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 + 7*c - 17. Let z be r(-5). Let s be (z\/7)\/(3*3\/(-63)). Solve 4*h + 14 + s = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 8. Suppose 2*g - 16 = 4*s - 70, -5*g + 33 = 4*s. Let k be l(s). Solve 5*c - 20 = y, -k*c - 3 = -5*y + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/107 + (241138800\/29960)\/(-70).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 23420860*p + 27426834156980.\nAnswer: 5*(p + 2342086)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.71 + 34. Let k = -0.11 - n. Let p = 1600\/8679 + -2\/789. Which is the closest to p? (a) k (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = -f - 128, 0 = -4*f + 3*w - 508. Let y = -116 - f. Let g(d) = -d**2 + d**2 + 2*d**2 + y*d**2. Let q(h) = 2*h. Determine g(q(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 7672.\nAnswer: 69048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 6*h**6\/11 + 782*h**5\/55 - 1453*h**4\/22 + 36*h**3 + 1108*h**2\/11 + 400*h\/11 - 3269. Let x(l) = 0. What is l?\nAnswer: -25, -1\/2, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 45. Let v be (-72)\/(-54)*r\/(-4). Do -1 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5346246.917?\nAnswer: -5346248.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14255.\nAnswer: 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 194 - 32 = 0. Let h = j + 91. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*25\/225\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 5*b + 5*b)*(-11*b - b + 0*b) - 19*b**3 + 10*b - 10*b - b**3 + 0*b**3 + 0*b**3 + (-b + 2*b - 3*b)*(b**2 + 2*b**2 - b**2).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 + 207*m\/4 + 105\/2.\nAnswer: -3*(m - 70)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549227097 to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161 divided by -35?\nAnswer: 2161\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 14\/(-84) + (-38983)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 3) + -3 + -6 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 34*y - 139. Determine m(6).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 299, 318, 345, 386, 447?\n\"Answer: z**3 - 2*z**2 + 18*z + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-20)\/(-24))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/4 - 55017*n**3 - 440124*n**2 - 880240*n = 0.\nAnswer: -220060, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 74*y - 467. What is v(-67)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + y + 2. Let z be p(2). Let b = -7 + z. Solve 0 = h - 2*g + 6, -2 = -3*h - h - b*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/9 + 1948*a**3\/9 + 379462*a**2\/9 + 620056*a\/3 + 246456 = 0 for a.\nAnswer: -162, -3, -2, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73479243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -12257?\nAnswer: 3\/12257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2545 + -15217\/6. What is the common denominator of (-18)\/(-252)*861\/18 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppc when four letters picked without replacement from {c: 2, p: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 41701 - 11009 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*k = -21788 + 21746, 0 = -3*m + 3*k + 9 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 m when three letters picked without replacement from xkkkmkkmkkkkkxkmkx.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**4 - a + 2*a**2 - 966 + 3*a + 977 + a**3 - 4*a**4 to the form k*a + i*a**2 + l*a**3 + t*a**4 + o and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211 (base 3) in base 13?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9715 = 39*w - 44*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 9*a - 30. Let z be j(4). Let o = z + 72. Is o greater than or equal to -23\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x - 314 = b - 97, 2*b - 6 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2340*v - 2 = -2342*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 101. Let q be (-3)\/((0 - d)\/116). Round q to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 0.08 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by -5170\nAnswer: 49\/5170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*m - m - 32147 + 13006 = 43067 for m.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14277276 and 61014?\nAnswer: 14277276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 355 in -8, -0.01, 5, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*t - 3*p, -p + 49 = t + 2*t. Suppose c = -4*c. Suppose -2*y = 4*m - 2 - t, c = m + 2*y - 2. Solve -3 = 3*n - m*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2296 and -76\/9966075.\nAnswer: 79728600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54746766 divided by 6.\nAnswer: -9124461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 11*h**2 - 27*h - 4. Let x(s) = -s**3 - 3*s**2 - 8*s - 1. Let l(z) = -2*d(z) + 7*x(z). What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 + 88. What is the second smallest value in -5, 5, k, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 8*s + 2. Let w(x) = 9*x**2 + 15*x + 4. Give 11*q(g) - 6*w(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -135\/29 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/7*8\/32?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-124)\/(-1054) + (-696)\/(-153). Solve -u = -12*g + 11*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**2 - 115 + 57 - 509 to the form w*l + k*l**2 + j and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 15747.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/2*2\/3. Solve 5*m = -5*k + 5, -3*m + 5*k = 2*m + u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4760\/50 + (1 + 0)\/(-5) is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 3*h - h + 5*h. Let t(j) = 9 - 17*j**2 + 0*j**2 + 5 - 14. Determine t(a(z)).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1195589.1ns?\nAnswer: 0.000019926485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -417159.0038 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -384 - -404. Solve j = 2*g - 4*q, -22 + 2 = -3*g + 4*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 4, f - 42 = -5*c. Let b(j) = -2*j**2 + 21*j - 7. Let o be b(c). What is the highest common factor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2112*y**2 - 97145*y + 173842787 wrt y?\nAnswer: 4224*y - 97145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + h)*(-3*h**2 - 5*h**2 + 4*h**2)*(121 - 325 + 683).\nAnswer: 1916*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7 - (-47 + 58).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 1 = -c - 19*p, -5*c = p - 31. Solve 0 = -3*g + c*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-315)\/(-91)) + 14\/6.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 177*f**3 + 13*f**4 - f**2 + 168*f**3 + 180*f**3 - 522*f**3 - 2*f to the form u*f + a*f**4 + s*f**3 + x*f**2 + z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(-1 + 0). Let p = w + 2. Solve -3*y - 4*k - 6 + 0 = 0, 2*k + 10 = p*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**4 - 14*o**4 + 4*o**4 - 2*o**3 + (-o**4 - 4*o + 4*o)*(-1 - 1 - 1).\nAnswer: -12*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4 + 17*g**2 - 17*g**2 - 6*g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, 4, -1\/47, 0.\nAnswer: -0.34, -1\/47, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012878 to six dps.\nAnswer: -0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150685 by -66.\nAnswer: 150685\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 2, v: 1, b: 7, m: 3}. What is prob of sequence vp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29281592.\nAnswer: 2, 859, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**4 + 65*c**3 + 430*c**2 - 920*c = 0. What is c?\nAnswer: -4, 0, 2, 23\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1276923mg?\nAnswer: 0.0000001276923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5839\/9 - 651. Let b be (-3 + 5)*((-605)\/202 - -3). Let o = -2516\/909 - b. Calculate the common denominator of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-87 - (-8 + 20)) + (-3 - 1 - 0)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 7*l - 2*l = -80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 equal to -505\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + v - 1. Let o be w(-3). Let y = 105 + -83. Suppose -j + y = -o*b, -5*j = 3*b - 41 - 13. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, -7.1, 2\/23 in descending order.\nAnswer: 354, 2\/23, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995747029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1801294630+-0.2\nAnswer: -1801294630.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.5 and 4250.78?\nAnswer: 23379.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2086*s + 75. Let k(m) = -m. Determine c(k(l)).\nAnswer: -2086*l + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -17340 - 4143. Let x = d + -1670. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2741833, 5483732, 8225617, 10967482, 13709321?\n\"Answer: -r**3 - r**2 + 2741909*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -81. Let u be (-9)\/(-18)*i\/4. Suppose 0 = 2*f - 0 + 2. What is the second biggest value in -5, 2, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 0.4, 0.1, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 54186*s - 275. Let q(k) = 1178*k - 6. What is -275*q(g) + 6*t(g)?\nAnswer: 1166*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqeqsqqqqqssrs. Give prob of picking 1 e and 1 q.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 38*v = 40*v - 22, -4*v + 26 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 22 = -3*k, -2*k + 5*j + 27 = 5. Solve -4*r - 3*q - 8 = -k*r, -3*r = q - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*d + 17972 = -518*d - 752*d - 2152 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 458*h**6 + 87*h**2 - 5. Let o(f) = -917*f**6 - 173*f**2 + 11. Let v(z) = -7*d(z) - 3*o(z). Find the third derivative of v(g) wrt g.\nAnswer: -54600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t**2 - 8*t**2 + 9*t + t - 3*t. Let f(q) = -4*q**2 + 4*q. Let j(b) = 9*f(b) - 4*z(b). Factor j(s).\nAnswer: -4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**5 + 10*a**4 - 20*a**3 + 18*a**2 - 10*a. Let g(z) = -2*z**5 + z**2 + 1. Let l(q) = 2*c(q) + 4*g(q). Determine k so that l(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 3. Suppose -4*v + 2 - 10 = 0. Determine z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 25837?\nAnswer: 2582c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 10. Let x(u) = u - 43. Let b be x(37). What is p(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*32\/10. Let d be 10000\/(-3)*-36*u. What is d rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -5, 1111, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*v**5 - 820*v**4 + 625*v**3 - 140*v**2 = 0 for v.\nAnswer: 0, 1\/2, 28\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 + (-8)\/(-21). Suppose 1211 = -43*y + 1340. Which is the closest to 1? (a) 0.08 (b) y (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyf when three letters picked without replacement from ffciyy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255469 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10580 and 80408.\nAnswer: 402040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:13 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*m**3 - 29*m**2 wrt m.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -497*f - 646. What is the remainder when x(-21) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:34 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-19 + -28 + 15 + 11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**2 - 8. Let o(l) be the third derivative of 0*l + 0*l**4 + 0 + l**2 + 1\/20*l**5 + 0*l**3. Determine m(o(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 7 - 4\/2. Let p(y) = 2*y - 1. Let t be p(r). Let o be -1*1\/(-14)*-2. Which is the third smallest value? (a) 2 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117823000 rounded to the nearest 1000000?\nAnswer: 1118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 169 + 110. Let q = 37 - x. Solve -q*p = -4*p - 10, 5*j + 5*p = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -29, 4, 1, 31.\nAnswer: -29, -5, 1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -0.2 (c) 0.5 (d) -134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115 + -1215?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 0, 2, 123, -0.3, 0.2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 0)*(-3*q**2 + 5*q**2 - q**2 + (1 + 1 - 4)*(-2*q**2 + q**2 + 3*q**2) + (2*q + q - q)*(4*q - 3*q - 2*q)).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 - 2*z**2 + 2*z + 5. Let w be d(-1). Let f(o) = -o**3 + 5*o**2 + 7. What is f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3285 - 2967. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 8\/2) + 1. Let r(g) = -2*g - 10. Let d be r(-3). Sort s, d, 1 in descending order.\nAnswer: 1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.438*-4900\nAnswer: 2146.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcvlvxxx. Give prob of picking 2 v, 1 x, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/127830 and 17\/300?\nAnswer: 1278300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 a when two letters picked without replacement from qrnqiqarqri.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656052 and 1173?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -152846.5 to the nearest one hundred.\nAnswer: -152800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((3\/3)\/((-11118)\/102))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -7*d**4\/4 + 11*d**3 - 461*d + 932. Differentiate j(l) wrt l.\nAnswer: -21*l**2 + 66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 487 = -471, -19 = v + 3*l for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/8*(-36)\/60*8. Suppose -4*n + 0*s - 3*s + 21 = 0, -5*s = -n + 11. Let o(p) = 3 - f - n*p + p**2 + 7. Determine o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -153, -230?\n\"Answer: -77*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let n(l) = 21*l**2 - l - 1. Let w = 17 - 11. Let g(j) = w*f(j) + n(j). Let i(t) = -4*t**2 - t. Determine -2*g(v) - 11*i(v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k + 10255 - 2180 = 0. What is the highest common divisor of k and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:14 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.93928131196 and 351?\nAnswer: 350.06071868804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*n - 9664 = -96*n. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6 + 8*s + 4 - 12*s - 4. Calculate the remainder when 213 is divided by g(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 16*r - 27. Let v be a(5). What is the greatest common divisor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 25*d**3 - 2*d**2 + 12*d - 16. Let x(v) = -2*v + 3. Determine -s(k) - 5*x(k).\nAnswer: -25*k**3 + 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -743?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 10. Let n be u(-7). Is 1\/n + (-1424)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28143 + -28143.5. Let y = -129592\/3 + 644182\/15. Let r = y + 252. What is the smallest value in 5, k, 0.4, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1550983 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 173?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33173588 divided by -1372\nAnswer: 24179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24542?\nAnswer: 2, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*k*q**2 + 165*k + q**4 with respect to q.\nAnswer: 200*k*q + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - u**2 + u - 2. What is a(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2413.035 tonnes?\nAnswer: 2413035000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2592.029 - 2590. Round k to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 23*y + 7. Let p(z) = -22*z - 8. What is -6*d(i) - 5*p(i)?\nAnswer: -28*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 19*o**3 - 112*o**2 - 192*o.\nAnswer: -o*(o + 3)*(o + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117509 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*h = 13, 6*m - 2*m - 11 = -3*h. Let f = 1.4 - 20.4. Let d = f + 19.4. Sort m, d, -5, -1\/7 in decreasing order.\nAnswer: m, d, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Let w = d - -69. What is the remainder when w is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(5 - -1) - (-55)\/15. Suppose -j*i + 61 = -z, 2*i - 5*z - 10 = 7. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 - r**3 + r**2 + r. Let o(x) = 9*x**4 - 6*x**3 - 8*x**2 - 5*x. Let j(b) = 10*h(b) + 2*o(b). Factor j(m).\nAnswer: 2*m**2*(m - 3)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4793.0993 + 4796.1. Let y = -10 + 7. Let f = m + y. Round f to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v**2 - 171*v - 30. Calculate h(7).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 - 4, 0 = 2*w - x - 19. What is the common denominator of -121\/6 and 0 - ((-3)\/w)\/(3\/(-94))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/17)*t*(t*t**(3\/11)*t)\/t*(t*t**(-4))**(-28\/3) assuming t is positive.\nAnswer: t**(5672\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16857 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 73955511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**6 + q**2 + q. Let n(y) = 10402*y**6 + 4453*y**2 + 2*y. Let b(j) = -n(j) + 2*t(j). What is the third derivative of b(g) wrt g?\nAnswer: -1248480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 2*b - 1585 = 0, 3*b - 15 = 0. Let m be 4\/18 - 20\/c. What is the closest to 0.1 in m, -1, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 + 0.57. Let z = 1.2 + j. Which is the closest to -2? (a) -0.2 (b) -9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 317 + -3?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 18*i**2 - 64*i + 2. Let x(q) = q**3 + 8*q**2 + q + 1. What is -o(y) - 2*x(y)?\nAnswer: -y**3 + 2*y**2 + 62*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/7))\/y)**(-6))**(-15\/2)*(y**6*y*y\/(y**5*y))\/((y*y**(-2\/7))\/(y*(y*y**2)\/y)) assuming y is positive.\nAnswer: y**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17492733 and 5004.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 5*f + 5. Suppose 0 = -4*p + 56 - 32. Determine j(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzss when four letters picked without replacement from tctcstztzstctccszcc.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((4\/2)\/(-1))\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -11?\nAnswer: 92\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a day?\nAnswer: 4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7512*t**2 + 42*t**3 - 7512*t**2 + 0 + 0.\nAnswer: 42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95 and 13110000.\nAnswer: 13110000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n - 121 + 562 = 116*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10742*y + 10740*y - 16 + 16 - 72*y**2 - 21482*y.\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 301, 353, 425, 517, 629?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 5296. Let f be y\/(-14) + 6\/(-42). Suppose -c - 4*c + 258 = -w, -4*c - 5*w + f = 0. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/2*(-6)\/(-72).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.075 and 1200.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/5)*g**1\/g*g*(g*g**(-1\/2))\/(g\/g**2))**(-3\/23) assuming g is positive.\nAnswer: g**(-57\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a63 + 13?\nAnswer: -8a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108743585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -53, -123, -237, -407, -645, -963?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -433 + 441. Suppose -4*p + 19 = -3*h, h + v + 9 = 4*p. Sort 5, p, 9, 3 in ascending order.\nAnswer: 3, p, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 0, 3.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x - 28. Suppose 0 = -r, 4*r = 2*u - u + 7. Let a be c(u). What is the third derivative of 3*b**2 + 2*b**3 + a*b**2 - 15*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 327209610?\nAnswer: 2617676880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - 3*z**4 - z**4 + (-4*z**4 + 48*z**4 - 13*z**4)*(5 + 0 - 6) - 4*z**4 + 1 + 3*z**4 - 4 - 2*z**3.\nAnswer: -33*z**4 - 2*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 - q**2 + q + 4. Let h(c) = -5*c**3 - 2*c**2 + 2*c + 7. Suppose 0 = -b - 8 + 1. Give b*z(o) + 4*h(o).\nAnswer: o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141042*l**4*r + 2*l**3 - 51*l**2*r - l**2 - 21*l wrt l.\nAnswer: -3385008*l*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6242 + -146?\nAnswer: -6421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 >= 9923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -172 (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9136716*h**4 + 6215*h + 269 wrt h.\nAnswer: -109640592*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-427)\/(-5673))\/((-6)\/540*35)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -981 + 652. Let w = -209 - c. Calculate the highest common factor of 96 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/2604 and -43\/156.\nAnswer: 33852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 36 = 58*c - 61*c, -5*c + 8 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (132*(-6)\/54*3)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249368 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.2. Let t = 2.3 + z. Which is the smallest value? (a) t (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/180 + d**3\/3 + 5*d**2. Let n(j) be the first derivative of l(j). Let h(b) = -2 - 2*b + 2. Calculate h(n(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2489*c**3 + 133*c**2 + 399*c. Let w(d) = d**2 + 3*d. Calculate -g(v) + 133*w(v).\nAnswer: -2489*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31a0 (base 11) to base 6\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29091083 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-100)\/(8 - 44512\/5560)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:24 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 304 = -2*m - 0*m, -4*u + 1216 = m. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5)\/g*g**(3\/4))\/((g**(2\/7)*g)\/g*g*g*g**6*g))**(-1\/7) assuming g is positive.\nAnswer: g**(1307\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) -7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*(n\/n**(-1\/6))\/n))\/n)\/(n\/n**(-3\/2)))**32\/((n*n\/n**(2\/3))**41\/(((n*n**(-1\/9)\/n*n*n)\/n)\/(n\/n**4))) assuming n is positive.\nAnswer: n**(-1225\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222032 is divided by 2194.\nAnswer: 2168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/27 + 1)*(-3)\/(-2). Let f = 2.2 - 1.8. What is the closest to o in -3\/5, -2\/7, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f**4 - 1724*f**3 - 3936*f**2 - 2636*f - 440 = 0.\nAnswer: -1, -1\/4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9416164 to the nearest integer?\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8120.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*i + 201*i = -25245. Calculate the remainder when 778 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/5)*i)*i)**(-9)\/(i**(2\/7)*i*(i*i*i\/i**(-2\/13))\/i) assuming i is positive.\nAnswer: i**(-7298\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = b - 18*w + 16*w, 5*w - 32 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 3*w + 24 - 1\/2*w**2. Let h be u(0). Solve h*l - 2*l = 1, -2*b - 5*l = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 0. Let h(r) = 7*r - 13. Let t be h(4). Let s be 24\/t + -4 + 22\/5. What is the nearest to n in s, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/520*-13*(-14)\/(-2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 5*o + 2. Let l(c) = 3*c**2 + 4*c + 2. Give -6*a(p) + 7*l(p).\nAnswer: 3*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/6 + (-1)\/(1432\/3). Let y = -5819\/716 - n. Find the common denominator of 55\/9 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-396)\/(-405))\/44)\/(9*(-13)\/(-1404)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.5 (c) 1.4 (d) -1 (e) -1.8 (f) -693\/29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33478.07 kilograms to grams.\nAnswer: 33478070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31627*v**2 + 6*v + 8. Let r be q(4). Round r to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*((-504)\/16)\/9. Let f = c + 124. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 20, 0 = 3*j - 3*u + 8 - 32. Suppose 0 = 3*o - 3*v + 3, 2*o - v = j*v - 6. Is o at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82263.0000070849 - 82263. Round i to 7 dps.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-3 + 0 + (sqrt(252) + -1 + -1 - sqrt(252)))**2.\nAnswer: 72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-264)\/(-42) + (-24)\/4. Factor b*j**2 + 2\/7 + 4\/7*j.\nAnswer: 2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 10, m: 2, o: 2}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 56, 151, 284?\n\"Answer: 19*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -33 + 110*t + 158 + 80*t + 63*t. What is the units digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21299474 - 4?\nAnswer: -21299478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/5 - (-1)\/5. Let n be -1 + (a - -6) + 3. Solve 0*j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.77 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1420 and 524932.\nAnswer: 186350860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 363657153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106\/15 + 20\/3. Suppose 5*v + 4*x - 13 - 4 = 0, -v - 3*x = -10. Let f = 56\/9 - 271\/45. What is the closest to v in 0.5, y, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -40*s**2 + 18*s - 7. Let j be k(6). Let l = 1341 + j. Factor -70\/9*z**l - 2\/9 + 22\/9*z + 50\/9*z**3.\nAnswer: 2*(z - 1)*(5*z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)*9\/24. Let r = -0.7 + 1. Sort 2, c, r.\nAnswer: c, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 5*b)*(-3 + 3 - 2) - 2*b - 2*b + 2*b)*(2*b**3 - 5*b**3 - b**2 + b**3).\nAnswer: -16*b**4 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -83e4b6 (base 16) to base 3\nAnswer: -121021011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/1237 < 1.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5811 - 46559\/8. What is the common denominator of a and -31\/643?\nAnswer: 5144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60285 (base 16) to base 6.\nAnswer: 12235233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -356623.5 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*a + 46*a**2 + 139*a in the form c + g*a**2 + s*a and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*x - 37*x**3 - 2*x**2 - 4*x**3 - 4*x**3 - 14*x**3 wrt x?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11904, 11892, 11880, 11868, 11856, 11844?\n\"Answer: -12*l + 11916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uka when three letters picked without replacement from {k: 1, r: 1, u: 2, a: 1, c: 1, w: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11003 + -21122?\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1595*a**3 - 301*a + 1476*a**3 + 301*a.\nAnswer: -119*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 11*w - 5. What is the remainder when v(-8) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-45)*(-1)\/(-2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33177384971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from ddnndndd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d. Let s(n) = 9*n**2 - 13*n. Let m(k) = -66*c(k) - 6*s(k). What is the second derivative of m(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 63*n + 272. Give v(11).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 5\/17 (c) -193 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 1.2. Let q be ((-16)\/(-312))\/(1\/(-3)). Which is the second smallest value? (a) i (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, i: 2}. What is prob of sequence ii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 15*i**2 - 21*i + 10. Let s be q(-16). Let x = s - 160. Let o = x + 116. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9258*b**2 + 8 + 3812*b**2 + 4569*b**2 to k*b + y + n*b**2 and give n.\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 7 = -18*t + 23*t, 2*t - 7 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(((-3)\/(-1200))\/((-2)\/(-15)))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 2. Let n be t(-8). Suppose o = w, -5*o = -4*w - n - 0. What is the second derivative of -2*l**5 - l - o*l + 5*l wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1 + (-201)\/4)*((-179200)\/875 + 205).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = 3. Let k be (1 - (-3)\/3)\/w. Let q be (-7 - -2)*k\/2. Solve 3*f = -5*h - q, 4*h - 3*f - 3 = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 5:27 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/7236?\nAnswer: -5\/7236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3*k**2 + 11 + 8 + 5 - 27 + 3*k + 2*k**4 as x*k**3 + f*k**2 + l*k**4 + a*k + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofoooooooofoof. What is prob of picking 3 f and 1 o?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110.8 - 110.5. Sort u, 14, -6, -1\/9 in descending order.\nAnswer: 14, u, -1\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5961*m*t - 2*m + 35*t - 485 wrt m?\nAnswer: -5961*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 8\/7*q**2 + 2\/21*q**3 - 15 + 2*q. Solve s(v) = 0 for v.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4176 and 66?\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52*(0 - -2)\/(-2). Calculate the remainder when 39 is divided by 24\/108 + g\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5556 by -2.\nAnswer: 2778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-20))\/(-13)*10\/(-122)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 23 = 5*w, 2*p + 2*w - 1 = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/33 (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {w: 3, t: 1, q: 1, g: 3, r: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i. Let x(y) = -17 - 2*y + 17. Calculate x(l(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.281 + -5.281. Let o = -2.5 + 3. What is the biggest value in a, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from caiiiidcaiiaaiacdaw.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 405*r - 400 = 0 for r.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 0.1, -0.39, -1\/2, -23?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133 + -149 - (-2 + 7 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2445603*a**2 - 1222787*a**2 - 1222799*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-2)\/6*-3. Find the third derivative of -2*h**6 - o*h**2 + 2 - 2 wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from dxxdddxxndd.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -461 - -464. Let h(t) = 2*t + 4. Let v(p) be the third derivative of p**4\/8 + 7*p**3\/6 - 2*p**2. Determine f*v(i) - 5*h(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*i + 1. Suppose 20 + 40 = 5*y. What is the greatest common factor of i and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -2 + 0*i**3 + 7\/4*i**4 + 0*i + 2*i**2. Find the second derivative of w(s) wrt s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n + n)*(0*n**4 + 2*n**4 - 3*n**4) + n**5 + 4*n**5 + 2*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182563.8l to millilitres.\nAnswer: 182563800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i + 112. Give l(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5919, -23687, -53301, -94761, -148067?\nAnswer: -213219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00270402352 to 7 decimal places.\nAnswer: 0.002704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204803 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 21*l**2 + 35*l + 4. Give g(19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.335168 - -0.3492. Round u to four decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -24*w + 26*w - 2394, -3594 = -3*w - 3*y. Does 40 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7123 - -6929. Is 3 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - b95?\nAnswer: -b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*l + l - 24 = 0, 0 = j + 3*l + 1. Let u = 4 + -4. Suppose u = 8*z - j*z + 4170000. What is z rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 2, w: 8, h: 5, l: 3}. Give prob of sequence plww.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -436653490 divided by -91\nAnswer: 4798390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106 - 67 + 37)*(-t - 2*t + 5*t)*(7 - 5 + 7) to a*t + k and give a.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + z = -11, -5*n - 4*z - 18 = 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8662 millennia in months?\nAnswer: 82394.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -835.7 - -871. Let s = 35 - n. Sort s, 0, 1\/7, -2 in decreasing order.\nAnswer: 1\/7, 0, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1151.9 or -716?\nAnswer: 1151.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.319 - 0.25. Let h = -1.146 - g. Let m = -0.215 + h. What is m rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 167*q**3 + 2*q - 6. Let m = -252 + 261. Let z(g) = -669*g**3 - g**2 - 9*g + 27. Let f(w) = m*t(w) + 2*z(w). Find the third derivative of f(j) wrt j.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116425939\/670 + 173770. What is the common denominator of n and 119\/20?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 37789?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 837*l + 2514. Let i(h) = -835*h - 2525. Let r(b) = 6*a(b) + 5*i(b). What is the first derivative of r(y) wrt y?\nAnswer: 847","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 + -1?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380184229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 15*p - 27*p - 2)*(3*p**2 - 3*p**2 - 4*p**3 + (2*p + 2*p**3 - 2*p)*(-4 + 0 + 3) + p**3 + 2*p**3 - 2*p**3 + 2*p**2 - p**3 - 2*p**2).\nAnswer: 72*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91090627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y + 3. Let b be (-2 + 0)*(5 - 19\/(-2)). Let c = b - -49. Suppose g - k + 16 = -2*g, -c = -5*k. Give w(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 20226.042 months?\nAnswer: 1.6855035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -g - 2*v, 172 = -4*g + 4*v + 956. Let c be g\/(-16) - (-1)\/4. What is the units digit of ((-24)\/(-16))\/((-2)\/c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*-1*60\/42?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.739 + -0.394. What is i rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74929176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l - 154. Determine i(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11\/9 - -59\/63. Which is smaller: a or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j**3 - 1. Let n be c(1). Find the common denominator of -7\/16 and (-518)\/(-96) - (-8)\/n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24927*d + 24962. Give b(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 95*b**2 + 864*b + 125. Calculate v(39).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2677505 to the power of 1\/2, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)*j*j*j)\/j)\/j**0*(j**1*j)\/((j\/(j\/j**(-3\/4)))\/j) assuming j is positive.\nAnswer: j**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-3))\/(-3))\/(5\/1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3362162?\nAnswer: 2, 1129, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + 2 + 0 + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*y**4 - 2*y - y**3 - 2 - 2*y**2 + 4*y + 0*y**3 to z*y**4 + k*y + p*y**3 + d + c*y**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1010001 (base 2) to base 5\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 - 118*b + 339. Calculate i(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2042042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(200) + 0 - (sqrt(200) + sqrt(200) + 5 + 1 + sqrt(200))**2) + 3 - (-3*(sqrt(200) + -2)**2 + sqrt(200) + (3 + sqrt(200))*-3).\nAnswer: -1208 - 450*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2098 - 184. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s + 27*s - 35*s - 24*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*w + 8*w. Let v be (-11764)\/84 + (-4)\/w. Let f = v + 141. Are f and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37403 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 + 633?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38539 is divided by 38536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1273\/4135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1527777995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577565.\nAnswer: 5, 115513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by 2.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n + n, 0 = 5*a + 3*n - 2. Let r be 5\/20 + a\/8. Solve t - 3*t = r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 394877 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tataaatataaaaaaaaa. Give prob of sequence ata.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575 = 161*h + 58*h - 2367 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, g: 1, q: 2, l: 2, x: 1}. Give prob of sequence lgoo.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -73, 0.3, -4\/81, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*c**5 + 36*c**5 - 21*c**5 + (0 + 0 - 2)*(3*c**4 - 3*c**4 - 2*c**5).\nAnswer: 71*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.1 + 34.9. Let i = 7.1 - 7. Let h = 46\/15 - 17\/5. Which is the nearest to f? (a) 3 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 7. Let r be ((-18)\/12)\/(m\/(-4)). Let o be (3\/(-2))\/((-3)\/(-8)). Is r bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330768 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 14*l**2 - 21*l. Let g be m(0). Solve 74*c - 133 + 59 = g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028742 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2\/13)\/r)))**0\/(r\/r**(-4\/9)*r**2*r))**(-42) assuming r is positive.\nAnswer: r**(560\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 0*i**2 - 3*i**2 - 5*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399446671.\nAnswer: 3, 20719, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10713701 and 171.\nAnswer: 96423309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3665554*a + 2 + 3665545*a.\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1. Let v = -54 - -89. Let a(i) = -i - 18 + 0*i + v - 18. Suppose -7 = 2*q - 3. Calculate q*a(b) - 4*r(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 5534198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {d: 3, z: 1, b: 1, j: 3, g: 2, r: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -176*l + 2. Let s be k(-1). Let d = -174 + s. Solve d*b + 0*b - 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 40 + 13 + 12*y + 10 - 15 + 45. Give s(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 889573 + -889572.98400012. Let k = -409.016 - -409. Let p = j + k. Round p to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 364 = 117*f - 64 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 12*m + 56. Suppose m*i = 18*i - 9070. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a**2 + 24*a**2 + 23*a**2 + 3 in the form q*a + p*a**2 + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvrinyrny. Give prob of sequence yrv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**5 - 9*g**5 + 2*g + 6*g**5 wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(38) - ((sqrt(38) - (sqrt(38) + sqrt(38)*1)) + sqrt(38)))*-6)\/(sqrt(4)\/sqrt(2)*6) + (0 + sqrt(171)\/sqrt(9) - ((4 + sqrt(19))*-3)**2).\nAnswer: -316 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-1\/2)*s*s*s))\/s*s**(-2\/15))\/(s**5\/s**(-3\/5)) assuming s is positive.\nAnswer: s**(-307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 910 + -363. Let u = 569 - m. Let t(g) = -g**3 + 7*g**2 - 6*g + 6. Calculate the least common multiple of u and t(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 4*t**2 + t + 4. Calculate a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-10) + 94\/(-170). Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 3602055?\nAnswer: 10806165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137983 - 55722. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1.1, -4, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 416 = 61*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r**3 - 16*r - 26. Let o(a) = -a**3 + 2*a + 1. Calculate -m(j) - 8*o(j).\nAnswer: -8*j**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d. Let s(q) be the second derivative of 5\/12*q**4 + 0*q**2 - 7*q + 0*q**3 + 0. Determine a(s(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 42*q**3 + 32*q**3)*(4*q**2 + q**2 - 4*q**2).\nAnswer: 75*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43234337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5 + 29*i**4 - 129*i**3 - 725*i**2 + 3850*i = 0 for i.\nAnswer: -5, 0, 5, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 207*v**2 - 5144*v - 810. Determine m(25).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5.7 (b) 0.2 (c) 3 (d) -5 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 999, 2308, 4141, 6498?\nAnswer: 9379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.11 + 14.04. Put c, 2, 4, -1\/2 in increasing order.\nAnswer: -1\/2, c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1609850 and 44\/9.\nAnswer: 14488650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 87.189. Let p = -0.148 + w. What is p rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62177122 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 32*o**3 - 64*o**2.\nAnswer: -4*o**2*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76546 and 2414.\nAnswer: 92391022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 4. Let f = -28 + 57. Suppose 2*p + f - 1 = 0. Let r = 17 + p. Calculate g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*i + 149*i + 15 = 5*k, 0 = 9*k + 5*i - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*x + 3492 = -0*x, -3*x - 6 = 0. Which is greater: 1163 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 + 21 = 0. Let o(a) be the first derivative of -1\/5*a**4 - 2\/5*a**3 + 0*a - b + 2\/5*a**2. Factor o(u).\nAnswer: -2*u*(u + 2)*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 8) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458.68811 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2416.93004 + -2417. Let q = o + 0.07. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 - 9*h + 4. Let f(i) = 69*i**2 - 50*i + 21. What is -2*f(q) + 11*u(q)?\nAnswer: 16*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4 - 2) + 0)*-1. Let z be (-1 - 5)*4\/(-6). List the prime factors of ((-10)\/4)\/(o\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4180 + 4250 = 14*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -75975843 less than -75975844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(304))**2 - sqrt(19)) + -5) + 4 + ((-1*sqrt(19) - sqrt(19))*-3)**2.\nAnswer: -1106 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3959 (b) 0 (c) -4\/959\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -23*y. Let m(l) = -11*l**2 + 16*l. Let v(s) be the second derivative of s**4\/3 - s**3 + 79*s. Let b(i) = -3*m(i) - 8*v(i). Give b(t(w)).\nAnswer: 529*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90*f*n*t**3 - 2*f*n*t**2 + 2*f*n + f*t - n*t + 8*t**3 - 93*t**2 - 1 wrt f?\nAnswer: 90*n*t**3 - 2*n*t**2 + 2*n + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466 a factor of 258986043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**2 - 3*t**2 + 6*t**2 + (t**2 - 1 + 1)*(2 - 3 + 0) + 2*t**2 - 3*t + 3*t - t**2 + 2*t**2 - 4*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 - 9255 = 110*n + 1524 for n.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 5\/135884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (sqrt(8)*-2 + 4)*2.\nAnswer: -8*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3751271 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -70*s**2 + 82092*s + 21179. Determine z(1173).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14212 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n\/(n\/(n**6*n)*n))**33*(n**(-4)\/((n**(-1\/9)*n)\/n))**34 assuming n is positive.\nAnswer: n**(526\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 2*g**2 - 2*g + 1. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120968 is divided by 945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1104 + 1101. What is the closest to -1\/3 in 69.2, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0*g + g - 2*g)*(-7 + 7 + 8*g)*(2*g**2 - g**2 - 5*g**2).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036193857 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**3 - i + 6. Let f(k) = -35*k**3 + 3*k - 16. Calculate -3*f(n) - 8*x(n).\nAnswer: 17*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3662 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2. Let b(t) be the second derivative of -t**4\/12 - 65*t**3\/6 - 482*t. Give q(b(o)).\nAnswer: 4*o**4 + 520*o**3 + 16900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 - -36*(-12)\/90. Let s be (-196)\/42*(-2 + -2). Let t = -20 + s. Which is the nearest to 0? (a) -3\/5 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f)*(-f + 0*f - 2*f)*(-1 + 2 - 3)*(-172 + 7 + 88)*(0*f - f + 0*f).\nAnswer: 924*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 213042489540*b + 213042489540*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-15))*k\/(k*k*k**(2\/21)\/k) assuming k is positive.\nAnswer: k**(313\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1798931*q**3 + 2200776*q**2 wrt q?\nAnswer: 10793586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2523 - -2532. Solve -5*g - 2*x - 12 = 0, 0 = -13*g + 11*g - 5*x - f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1452 - 620. Calculate the remainder when k is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -532605*l**3 - 3*l**2 - 4312904 wrt l?\nAnswer: -1597815*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 420?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 8*b**2 - 246*b + 3. Let l be a(-16). Let c = l - 1859. Solve 6*d**2 - 1\/2*d**3 - 24*d + c = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from niisssfxikf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 55. What is the fourth biggest value in -4, -2, n, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 161 and -88.74046?\nAnswer: 249.74046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9591*j - 47. Let b be i(17). What is b rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 550, 0, -19.\nAnswer: -19, 0, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-101)\/(-33) - (8 - 1834\/231). Let j be 18\/(-4)*(1 - 5). Suppose 2*y + 24 = -x*g + 7*g, -3*g = -y - j. Solve -4 = -d - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2311289*m + 16178971. Determine i(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -13. Suppose 0 = u - t - 2. Suppose u*b - 158 = 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, -0.3, -0.14, -2\/9, 2 in descending order.\nAnswer: 105, 2, -0.14, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14798429\/114 + -129812. Find the common denominator of m and -93\/2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16215.4 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, 383, -55, -2 in descending order.\nAnswer: 383, 4, -2, -17, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20629\/16 - 1293. What is the common denominator of -51\/20 and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from gfttm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 + 4. Let k(a) = -5*a + 4. Let f(m) = -9*m + 7. Let l(z) = -4*f(z) + 7*k(z). Calculate l(w(q)).\nAnswer: 8*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -27.7. Let b = -29.5 - v. Let w = -5.4973 - b. Round w to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 0*d**2 + d**2 - 4*d**2 - 1 - d**2 + 6*d - d**3. Let r(s) = s**3 - 8*s**2 - 2*s + 11. Let y be r(8). Let o be k(y). Let z(u) = 3*u + 8. Give z(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 2*a - 810. Let z(d) = d**2 - d + 270. Let s(p) = 2*x(p) + 7*z(p). What are the prime factors of s(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 48?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53513 and 944?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*o**3 - 40*o**3 + 75*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*w, -153*w + 3*y - 4 = -77*w - 77*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 4 + -2 + 0. Let o(x) = -8 + i*x + 8 + 2*x**2. Determine o(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:47 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 2*o**2 + 1 - 7*o + 1\/3*o**3. Let h be i(-6). Solve -4 = -h*s + s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 558590 divided by -3\nAnswer: -558590\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l + 30. Let j = l + 10. Solve 0*w = -j*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**5 + 503*t**4 - 72911*t**3 + 2381293*t**2 - 12373080*t + 17615700 = 0.\nAnswer: 3, 37, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20030.\nAnswer: 2, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-2\/23)*z**(-4)*z**14 assuming z is positive.\nAnswer: z**(692\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/240)\/((36\/(-15))\/1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*-4)\/2*((-4)\/1)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 15*w - 31. Let k be m(11). Suppose 0 = -k*f + 5*f + 56. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 827339 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 - -4.24. What is the closest to -1 in 5, r, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 57 = z. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7*x + 2*a = 14, x - 3*a + 1 = 0. Suppose -5*o = x*f - 25, f = 5*o - 2*f - 17. Put -5, -1, o in increasing order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 438075\/76 - 5764. Let r be (-26)\/114 - (-1)\/3. Let w = t + r. What is the closest to 0.1 in w, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 50.6, 0.59, -4, 2\/9, 66?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 232268490 to the nearest 100000.\nAnswer: 232300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -127, -308, -609, -1030?\n\"Answer: -60*t**2 - t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 606*n - 2544. Calculate p(206).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -175. Let a be 22\/i + (-22)\/(-10). Determine c, given that 0 - 3\/4*c**a + 1\/4*c**3 + 1\/2*c = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4353866 to 2 dps.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384\/(-320))\/(-3*(-1)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.4 (c) -11 (d) 16.3 (e) 5 (f) 0 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -1 - (-3 - -5). Suppose y - 4 = -u. Solve y = 4*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -276, -949, -2266, -4443, -7696?\nAnswer: -12241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v**2 - v)*(10*v - 2 + 12*v - 26*v) in the form a*v**2 + i*v + o + z*v**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1957\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924a9 (base 14) in base 10?\nAnswer: 1427813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4 - 8*h**3 + 70*h?\nAnswer: 36*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i + 4. Let d be h(-5). Let r = 10.447 + -0.447. Which is the second biggest value? (a) -3 (b) r (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 7*k - 4. Let c be v(6). Suppose 81 = 3*f - 4*w, c*w - 6 = -3*f + 57. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 + q. Let d be z(-1). Let a = -1.9 + 47.9. Let x = 50 - a. What is the closest to d in -1, x, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 25 = 2*v. Find the third derivative of 3*x**2 - x**2 - 5*x**v + 7*x**5 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w + 1 + 0 - 2*w - 20 + w + 20 + (4*w - 2*w - 4*w)*(-2 + 2 - 2) - 1 + 1 - w + 0*w - 4*w + 5*w.\nAnswer: 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 7*d - 1. Let b be h(-4). Suppose 8 = n + b. Solve 5 = 2*g - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 + 8*h + 3. Let g be o(-8). Suppose g = -4*k + v + 19, 5*k - 5*v - 5 = 0. Solve 8*t + k = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2350 and 59\/6?\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*h = 5*k - 104, 156 = 3*k + 4*h. Suppose 0 = -k*l + 49*l + 39. Calculate the remainder when 126 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24518, 24541, 24564, 24587, 24610?\n\"Answer: 23*r + 24495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 319.8666516 - 319.86. What is n rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 - 81. Is 23 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 12. Let u = 26 - h. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259.711 hours to minutes.\nAnswer: 15582.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 4) to base 9\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 - 15*m - 12. List the prime factors of k(17).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 5*l = -5*t + 45, -7*t + l - 4 = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 3*t - 2*y, 2*t = 5*y + 17. Let k(z) = 2*z - 4 + t + 4. What is k(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -11*z**5\/20 + 2*z**2 - 22*z. Let r(a) = 2*a. Calculate r(n(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384 = 518*b - 644 - 562 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66821 > 6\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 0*a - 5*a + 2*a. Let b(q) be the first derivative of -5*q**3\/3 - 17. Give v(b(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3)\/(3\/69). Suppose 4*n = -2*d + 20, -n - 3*d - 2*d = -w. Solve -8*o = -n*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-24)\/9)*4 + -1. Put -10, 4, x, 3 in ascending order.\nAnswer: -10, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p - x, 7 - 2 = -x. Suppose -2*q = 4*d - 686, -2*q + d = -p*d - 702. Suppose q + 51 = 2*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 - 46*i + 186 - 92 to d + h*i and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*y - 2*y + 9, 5*i - 3*y - 40 = 0. Suppose 14 = 2*j - 2*s, -j - s + i = -3*s. Solve q = -j*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 81. Suppose 5*x - 5*m - 85 = 0, -5*x - 4*m + 32 = -4*x. Let r be x\/4 - (-2)\/2. Calculate the highest common divisor of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) - 55\/15. Let k be (-2)\/b - (-400)\/30. Solve -5*q = -1 - k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 7*j - 3. Let o be h(6). Let z = 469 + -920. Let y = 455 + z. Which is the biggest value? (a) y (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7556 or 7554?\nAnswer: 7554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 34, 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -39693 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481325337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*i - 7991*i + 596400 = 981*i for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2. Let s(a) = -2*a**2 + 9*a**2 - 9*a**2 + 23. Calculate h(s(p)).\nAnswer: -4*p**4 + 92*p**2 - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by (-2)\/1 + (-4 - -13 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpptppppyppppptpp. What is prob of sequence pypp?\nAnswer: 143\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21639 = -q, v - 108222 = -0*q - 5*q. Let m = -36545 + q. Round m to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233 - 229. Suppose -3*h - 12 = 9*j - 14*j, -4*j + h + n = 0. Solve j = 5*l - 2 - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14430 or -14731?\nAnswer: -14430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9431 and -0.5.\nAnswer: -4715.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 18107220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/7)\/a**20 assuming a is positive.\nAnswer: a**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 0, 5*s - 21 = 5*r + 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -636.5 + 641.5. What is the closest to -0.2 in n, 2, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1350*r**3 + 52 - 428*r**3 - 219 + 297*r**3 wrt r?\nAnswer: -4443*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-70)*2*-1*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8496 - 2959?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/25, 2\/7, 6\/11, 10, 5, 248?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 + 5 = 0. Let x = f - -13. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90654 is divided by 251?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56482 and 129362?\nAnswer: 4010222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1 - -3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + i - 40 = 0, -3*i + 4 = 5*w + 52. Calculate the remainder when 34 is divided by (-2)\/(4\/10)*w\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, -3\/8, -3\/32?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1688, 5, 4 in decreasing order.\nAnswer: 5, 4, -1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 54706565?\nAnswer: -54706554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**4\/12 + 30*z. Let r(w) = 6*w**2. Determine h(r(g)).\nAnswer: -252*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40953\/2 or -20477?\nAnswer: -40953\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 0 - 5) + -3 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 5375 and 42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = 7. Suppose 0 = -j - j. Suppose 10 = s - 4*g, 0 = s + 25*g - 24*g. Sort a, s, j in ascending order.\nAnswer: j, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 divided by 81241?\nAnswer: -281\/81241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (0 - (-3)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8378382137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h - 2*h + 14*h - 3*h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11129 + 11134. What is the closest to -2 in -1\/5, 14, k, 2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712*0.4.\nAnswer: -284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9000*b. Let n be p(8). What is n rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*4\/(-48) + (-14488843)\/4. Let m = w + 17382211. Round m to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485189 is divided by 263?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 412804 and 20263?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3211*s - 11302 = 117138 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*d + 132 = -0*d, 3*p - 3*d = 102. Suppose -3*t + 5*h + 285 = -p, -4*h = -8. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 8*i**5\/15 - 14*i**4\/9 - 31*i**3\/36 - i**2\/6 - 6*i - 3. Factor a(f).\nAnswer: (f - 2)*(8*f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39811397\/119940 + -9084\/1999. Let j = d - 1301\/4. Let a = -12\/5 + j. Calculate the common denominator of -29\/9 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**4 - a**2 + 5. Let c(t) = -3*t**4 + 156*t**3 + 167*t**2 - 320*t + 5. Let x(b) = c(b) - v(b). Let x(l) = 0. Calculate l.\nAnswer: -2, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*o + 16, -1541*o + 1538*o + f = -4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kku when three letters picked without replacement from {o: 1, k: 2, u: 1, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f - 47. Let g(y) = 9. Determine 4*g(c) + v(c).\nAnswer: -10*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-5)\/((-10)\/(-156)). Find the common denominator of 9\/20 and (5\/(-20))\/(2\/x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdddwddvw. What is prob of picking 3 w and 1 v?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q - 11 + 3 - q**2 + 2. Suppose -3*g + 4*g + 22 = -4*y, 4*g + 13 = -y. Calculate t(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000110 - 1100?\nAnswer: 1111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) -17 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(405) + 1)*1*-2 - (-4 + (1 + sqrt(405))*4))**2*-5.\nAnswer: -218760 - 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-285)\/(-10))\/(((-4)\/6)\/((-20)\/45)). Let d be 226\/6 - (-3)\/9. What is the greatest common factor of d and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173906740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100*-657.43\nAnswer: 65743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14274*c = 14201*c + 7008. Let a(g) be the first derivative of 71*g**2\/2 + 2*g - 2. Let z be a(2). Calculate the highest common factor of z and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 184\/(-30) + 1 - 8\/(-60). Let a = -10 - -6. What is the fourth biggest value in a, o, 4, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + 1 + sqrt(396) + (sqrt(396) - (sqrt(396) + 0)) + 0 + sqrt(396) + -1)**2 + -1.\nAnswer: 96*sqrt(11) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (-7 - -6) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 121 + 133 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 6*p + 4*u + 66, 4*p + u - 105 = 0. Is p at most 53\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -491.630702 and -2.\nAnswer: -493.630702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12046 and 18677?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 260\/156*1\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czpcl. What is prob of sequence pzc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1 + -4 + (2 + sqrt(3))*3 - (sqrt(6912) + 1))**2.\nAnswer: -176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 3, -0.3, -4, -5809?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 = 9*z + 110. Let d = z + 148. List the prime factors of d.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 338 and 148526.\nAnswer: 148864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -59*h**2 + 59*h + 85. Let z(u) = 38*u**2 - 38*u - 57. Let r(a) = -9*c(a) - 14*z(a). Let y(s) = 2*s**2 - 3*s - 66. Give 7*r(d) + 3*y(d).\nAnswer: -d**2 - 2*d + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from klkxxxlllllxxkxkxllw?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13681536 is divided by 7881.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*f - 12, 10 = -g + 5*g - f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.7251 tonnes to micrograms.\nAnswer: 971725100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48648377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 16*t**2 - 16*t + 21. Let k be s(-17). Suppose k*i - 30 = i. What is the remainder when 16 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 344 - -7?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h + 2. Is 11 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 8*x - 3*x**4 + 10*x**2 - 6 - 16\/3*x**3. Factor y(o).\nAnswer: -4*(o - 1)*(o + 2)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1881 by -11.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -29*j - 24. Let w = 68 + -37. Suppose 5*t + w = -4. Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010111 (base 2) to base 14\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18158288*g**2 + 9963586*g?\nAnswer: -36316576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-25)\/12 + 2). Let o = 21 + i. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -210 - -210. Let t(n) = -n**2 + 5*n + 543. Let l be t(26). Put 4, w, l in increasing order.\nAnswer: l, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - y = -265, p + y - 23 = 47. Calculate the remainder when p is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11153, 0.06, -0.5?\nAnswer: 11153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s + 1. Let d(v) = v**3 + 25*v**2 + v + 26. Let h be d(-25). Calculate m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -142?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-15)\/110). Suppose j*l = 5*l - 4*l. Solve b - 5 = -5*c, 18 = -2*b + 4*c - l*c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 23*f**2 + 48*f + 29. Let x be z(22). Suppose -3*o + b + 1440 = 507, 3*b - x = -5*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/(-77) - (-1 - -3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -140216 and 0.1554?\nAnswer: -21789.5664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*z = 103*z + 3472 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-3036)*-506*9\/11.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -e092?\nAnswer: -e093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + 2*w - 1. Calculate l(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 130*h**2 - 1095*h - 74899. Calculate y(-134).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 3 - 3 - 8*t - 3*t + 4*t - 2*t + 3*t - 3*t + (1 - 2 + 0)*(0*t - 2*t + 0*t) - 1 + 1 - t - 5*t - t + 5*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 8*v + 3. What is y(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 475 = -7*z. Let i be z\/(-12) - (-3)\/9*-1. Factor 217*d**3 - 225*d**i + 25*d - 7*d - 4 - 6*d**2.\nAnswer: -2*(d - 1)*(d + 2)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 85.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 98.1.\nAnswer: -9.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 13*j**2 - 12*j + 9. Let t be o(-12). Let r = t - 6. Suppose r*i - 3 = 15. What is the lowest common multiple of i and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -602.945 + 615.3. Let h = -0.045 - r. Let v = -12.3 - h. Which is the smallest value? (a) -0.3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 + -136. Suppose -4*z + 2708 = -9*v + 7*v, 3*z = -x*v + 2001. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613983?\nAnswer: 3, 103, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504979891 and 11609?\nAnswer: 11609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/5 + 1159034*y**2\/5 - 33584111232*y + 167919397128\/5 = 0. What is y?\nAnswer: 1, 289758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 2*t. Suppose -2*p = -4, 0 = 4*k - 2*p - p + 2. Suppose 3*m + k + 5 = 0. Let q(n) = n**3 + n**2 - n. Let a(c) = m*v(c) - 2*q(c). Factor a(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/f**0)\/(f\/(f**(-5)*f)))\/(f**(2\/7)*f)**(3\/16)*(f**(-2\/9)\/f**(4\/5))\/(f**1)**35 assuming f is positive.\nAnswer: f**(-192847\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 3*s**4 - 5*s**4 + (-s + 0*s + 0*s)*(-s + 2*s**3 + s) + s**4 + 5 - 5 + 2*s**3 + 2*s**4 - s**3 - 4*s**4 + (2*s**3 - 10 + 10)*(-4*s + s - s).\nAnswer: -16*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30427 rounded to the nearest 100?\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89083, -177229, -265375?\nAnswer: -353521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 22446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixteenths of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 23*y = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/39)\/q*q\/q**(-2\/17)*q assuming q is positive.\nAnswer: q**(758\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129429 and 1509786?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.4. Let z = v + -0.3. Let m = 63 - 191\/3. What is the closest to -0.2 in 0.5, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + (-78)\/15 + 2 - 2) + 5. Let n be (-14)\/3*(-15)\/10. Which is bigger: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 12 - (17 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1588304 greater than or equal to -1588495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:32 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = u + 2*b - 48, -4*u + 192 = 2*b. Calculate the remainder when u is divided by 0 - (-1)\/(-2) - (-245)\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - 1 - ((-14 - -24) + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.012 (b) -0.5 (c) 0.3 (d) -5 (e) 326\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4399*k = -2441*k - 88920 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617 (base 8) to base 13.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let k(v) = -2*v. Calculate k(d(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 - 13*r**3 - 4 + 3 - 8*r**3 - 5*r + 0 + 4*r**3 to d*r + j*r**4 + y + z*r**2 + w*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, 0.5, 2\/19, 2\/21.\nAnswer: -4, 2\/21, 2\/19, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7460*t**2*y**2 + 60*t**2 - 13*t - y**2 + 2 with respect to y.\nAnswer: 14920*t**2*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-696)\/(-1856).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 856622\/5643 - 1670\/11. Let j = -9571\/11286 + r. Calculate the common denominator of -13\/18 and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -10. Let r(i) = i**2 + 28*i - 88. Let f be r(-31). Solve 0*s - p*s + f = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682422.\nAnswer: 2, 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 869*c - 121. Is 7 a factor of v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.04*7.\nAnswer: 42.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -879300 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 2340*h**3 + 7026*h**2 + 7028*h + 2343.\nAnswer: -(h - 2343)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 11340 (c) 0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.2814 to 1 dp.\nAnswer: -77.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 3, 1 in ascending order.\nAnswer: 1, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92629 is divided by 347?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 318616.889902\nAnswer: -318616.389902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (0 + (-38)\/(-16)). Suppose t = 7*t + 72. Let s be (-2)\/3*t\/8. Is s less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026475 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - 5.03. Let z = 0.1 + 1.9. Sort j, z, -4\/7.\nAnswer: j, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/42 and 23\/312.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63257 in -5, 15, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Let t be f(-3). Let j(a) = a**3 + 4*a**2 - 4. Determine j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61933*r**3*x**3 - 2*r**3 - 2*r**2*x - 13*r*x**3 - 51 wrt r?\nAnswer: -371598*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3\/5 + 54*m**2\/5 - 168*m\/5 - 98\/5 = 0. What is m?\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x)**(5\/16)\/(x**1)**(-26) assuming x is positive.\nAnswer: x**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l + 193*l + 212*l + 8*l + 79*l.\nAnswer: 569*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 9728*d + 9721*d + 17 + 61*d**3 - 15 to the form k + r*d + p*d**3 + y*d**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.71 - -0.7100063. Round n to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10034*a**2*h**3*o - 17*a**2*h**3 - 22*a**2*h**2 + 3*a*h**3 - a*o + 75443*h**2*o wrt h?\nAnswer: 60204*a**2*o - 102*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 31. Let b(x) = -13*x + 128. Let i(y) = 9*a(y) - 2*b(y). Give i(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 + 4. Let s be f(-9). Suppose -s*p = -m - 5 - 0, 2*m + p = -1. Let v be (m\/(-3))\/(3\/117). Is 14 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (18 + -21 + 10 + 9)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 5)*(-1 - p + 1) + p + 5*p - 4*p - 2 + 2*p + 2 + 0 + 0 + p + (0 - p + 0)*(-2 - 1 + 5).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10231269 is divided by 170?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 9. Suppose -2*w + 0 - a = 0. Is (-14)\/(w + 1544\/388) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (3 - (3 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(150\/(-42)) + 1562\/(-110) + 15.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 7*q = -332*d - 1684, -5*q - 20 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -266 - -266. Which is greater: c or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32483 is divided by 189.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 4, 8, 2\/29, -20, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9542326 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*w**2 + 31*w**2 + w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 455731 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-22)\/y**(5\/6))\/((y*y**(26\/5))\/(y\/(y\/(y\/(y\/y**(1\/4))*y*y)))) assuming y is positive.\nAnswer: y**(-1607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1814 - k**2 - 736 + 4014 - 731 - 733.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1584\/(-330)*20\/((-2)\/(-1)). Let h be k\/(-84) - 78\/63. Let x = 1\/51 - 115\/663. Sort x, 3, -4, h in descending order.\nAnswer: 3, x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 10*j**2 - 2. Let k be u(-10). Is k*-3*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*r - 4, 0 = -r + 3*j - 11 + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f + 21. What is w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 119074865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/10 + 25\/2. Solve 0*n = 3*n + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 202691*u - 608149. Calculate v(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/68356 and -59\/20.\nAnswer: 341780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33277 (base 10) in base 2?\nAnswer: 1000000111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8540*c - 20*c**2 - 38 - 8816*c - 10. Let h(q) = 4*q**2 + 55*q + 10. Let j(n) = 24*h(n) + 5*o(n). Find x such that j(x) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*m + 1549, -l - 87 = -m - 604. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 o, and 1 x when three letters picked without replacement from {o: 1, b: 6, u: 1, p: 4, z: 2, x: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 4, o: 2, g: 5, e: 4, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1728, -5, 2, 6, 3, 4 in decreasing order.\nAnswer: 8, 6, 4, 3, 2, -5, -1728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -668\/5*o**2 - 166\/15*o**4 + 1352\/15*o + 998\/15*o**3 - 16\/15.\nAnswer: -2*(o - 2)**3*(83*o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80, -157, -234?\n\"Answer: -77*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(108) + -3.\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198 (base 14) to base 2.\nAnswer: 101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/3 of a week in hours?\nAnswer: 3752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:11 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(125))**2.\nAnswer: 40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - t - 4, 2*d + 8 = 4*t + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 23 = 2*v - 46, -3*v + 27 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -1, -4 in decreasing order.\nAnswer: 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 4 - 4 + (s + 3*s - 6*s)*(2 - 4 + 0) + 27*s - 142*s - 7*s - 73*s.\nAnswer: -189*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 406*w + 21850. What is n(-54)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = -0*w. Suppose 5*f + 98 = -w*a + 23, 4*a = 4*f + 60. Find the common denominator of 53\/2 and (-6)\/(-36) - (-184)\/f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 303685\/74382 + -1156\/253. What is the common denominator of n and -39\/20?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1494 - 0.0506. Let m = -0.6 + 1.7. Put m, -0.5, c in ascending order.\nAnswer: -0.5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 380 + 3087 = -293 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -c*g = -4*g. Solve 4*f - 3*f - 3 = g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(14 - 7 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51903, -4, -1, 42 in decreasing order.\nAnswer: 42, -1, -4, -51903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 15148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 3. Let z be v(-6). Let d be 11\/(-154)*-212 + 1\/(-7). Calculate the greatest common divisor of d and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3312904\/65 - 254838\/5. Factor -r*i**2 + 76\/13 + 74\/13*i.\nAnswer: -2*(i - 38)*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 0*x**4 - x + 3*x + 149*x**4 - 69*x**4 - 62*x**4 + (-2*x**3 + 3*x**3 + 0*x**3)*(-x - x + 0*x).\nAnswer: 18*x**4 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, o: 2, d: 5, z: 3, s: 1, x: 2}. What is prob of picking 2 o, 1 z, and 1 s?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 229039.8*-0.3\nAnswer: -68711.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5256 + 4463. List the prime factors of f.\nAnswer: 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 352\/36 + 4\/18. Suppose 58 - w = 4*t. Suppose t = 5*v - 2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 0.840109\nAnswer: -0.06720872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*y - 4*y + 49*y.\nAnswer: 41*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 33*i + 2. Let z(u) = -u**2 + 1. Determine j(q) - 4*z(q).\nAnswer: q**2 + 33*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-25))\/(2\/57910). Suppose -24461 = -2*t + b, 3*b - 19126 = -2*t + 5331. Suppose -3*d = -l - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 5*g**4\/12 - g**3 - 3*g**2 - 5*g - 2. Let w(l) = -55*l**2 + 65*l + 65. What is 65*m(q) + 6*w(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1144612?\nAnswer: 1144607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2106 - -977. Is 58 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -361*f + 285\/2*f**2 + 18*f**3 + 0 + 1\/2*f**4.\nAnswer: f*(f - 2)*(f + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 + 37*v**4 - 37*v**4 + (3 - v**2 - 3)*(-6*v**3 + v**3 + 3*v**3) - 2*v**5 + 5*v**5 - v**5 + 4*v**5 - 2*v**5 - v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 4794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6*y - 6. Let c be r(8). Let b(o) = 14*o - 14. Let m(x) = x. Let h(w) = c*m(w) - b(w). Differentiate h(a) with respect to a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1 - (-672)\/35)*(-13 - (-357)\/34).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 5056?\nAnswer: 55616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 28998 (base 10) to base 9\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrrsrrsssr. What is prob of sequence rsrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32308 = -3348*h + 288*h + 68672 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s**2 - s. Suppose 0 = w - 3*v + 2, -3*w - 2*v = 2*v + 6. Let m(d) = d + 2. Let q be m(w). Let y be b(q). Solve y = -r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 432\/32)\/((-2)\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*r**2 - 98*r - 2167276 wrt r.\nAnswer: 390*r - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1859.9 - 1860. Which is the third smallest value? (a) m (b) 2\/7 (c) 744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-4)*33\/(-77). Let i = -0.0664 - 0.0236. What is the smallest value in i, -0.1, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -3.615\nAnswer: 3.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-44))\/((-1)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12)\/(1\/3). Let j = d - 2. Let l = -140 + 1258\/9. What is the nearest to 0.1 in l, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562855?\nAnswer: 5, 7, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 5*a - 13 - 2*a. What is y(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000297458248 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03068 to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 59*r**2 - 125*r - 1924. Calculate f(-20).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*v + 4 + 52 - 56 - 433*v.\nAnswer: -1368*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4449 - 15821 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {c: 1, b: 4, z: 3, r: 2, e: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 48, 76?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/3 + 4364*k**2\/3 - 78895*k\/3 - 83258\/3 = 0.\nAnswer: -4382, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*p**3 + 36*b**3 - 6*b**2 - 186*p**4 with respect to p.\nAnswer: 3*b**3*p**2 - 744*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1664*z. Let g(n) be the first derivative of 37*n**2\/2 + 13450. Give 224*g(i) + 5*j(i).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 = 557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 3*d**2 - 5. Let i be v(4). Suppose -2*y = -7*y + 605. What is the highest common factor of i and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - -27. Suppose o = 4*w - w. Let x = -74 - -83. Calculate the remainder when w is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-154)\/49 + -1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-21)\/y)\/(y*y\/y**(-1\/32)*y))**(13\/4) assuming y is positive.\nAnswer: y**(-10413\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jku when three letters picked without replacement from {j: 1, u: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 601.7 + -596.7. Is b != -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70256609 is divided by 2358?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 50 = -2. Suppose 2*q = -5*w + c, 4*w - 12 = -q + 3*q. Let f(o) = 0 + 1 + o - q*o. Calculate f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 0.489.\nAnswer: 12.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1938*24\/(-8208)*16\/34?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g - 45*g - 6*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*1342\/44*-3\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2, 1\/8, 4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 114 = -4*c + 66, -c = -3*f - 53. Suppose 3*j - c = 2*m + 33, 5*j + m - 145 = 0. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1394896 or 1394770?\nAnswer: 1394770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20633911 to the power of 1\/2, to the nearest integer?\nAnswer: 4542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/20 - 3*c**4\/4 - 4*c**3\/3 + c**2 - 3*c. What is the smallest common multiple of u(-8) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let y(i) = 3*i**3 - i**2 - i. Let z be y(-1). Let q be f(z). Let p = 1584 - 7917\/5. Which is the nearest to p? (a) -0.1 (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 0*x**4 + 0*x**4 + (-1 - 1 + 1)*(6*x**5 - 5*x**5 + x**5)*(4 + 1 - 2).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -487, -1573, -3239, -5479, -8287, -11657, -15583, -20059?\n\"Answer: t**3 - 296*t**2 - 205*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -376*x + 403*x + 189 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l**2 - 203*l + 58. Let c be b(11). Solve 0 = c*g - 5 + 20, 17 = 3*y - 4*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.74 + 11.04. What is the nearest to -1 in -1\/2, -12, 0.4, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164434*j**2 - 1196*j + 348996337?\nAnswer: 328868*j - 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 11*t**2 + 13*t - 10. Let w be q(12). List the prime factors of 94 + (4 - (w - -2)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -r + 23, 2*r = 8 - 2. Find the second derivative of -f*y + y + y + 4*y**2 - 3*y wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 4. Suppose -5*v + 38 = 18. Let w be y(v). What is the derivative of 6*j**4 - 5*j**w + 11*j**4 + 6 wrt j?\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12592665 and 4347.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + q = -4*o - 33, -39 = 5*o + 3*q. Let c = -3 - o. Suppose 18 = c*y - 0. Calculate the least common multiple of y and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58923593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 107098 - 4d?\nAnswer: 10704a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 16121655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 5 (c) -121 (d) -32 (e) 63 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194.7744 + -195. Let l = 49 - 49.23. Let w = l - g. What is w rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 5*u**2 + 2*u**2 in the form m + k*u + o*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -9, -17, 25, -5, 1 in descending order.\nAnswer: 25, 3, 1, -2, -5, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 146 = 2*v, 419 = -2*v - 2*s + 497 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*k - 215*k - 211*k - 218*k + 1093*k - 217*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhhq when four letters picked without replacement from hqqqhqqqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 14*b - 9*b + b. Let z(t) be the first derivative of -t**5\/40 - 3*t**3 + 4. Let p(n) be the third derivative of z(n). What is w(p(x))?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 54 = -7*b. Let p(t) = t**3 + 8*t**2 - 9*t + 6. Give p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5548*f - 1. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200256518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 + 2*r**3 - 2*r**3 - 1 + 4 with respect to r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4197226 is divided by 454?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {e: 2, r: 1, a: 4, t: 3, f: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -90. Let u be (42\/5)\/((p + 16)\/180). Calculate the greatest common factor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 78*o + 2. Let g be m(1). Suppose -25 + 87 = -f - 4*h, -2*h = -f - g. Let a = -47 - f. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 11*r**2 - 17*r + 59. Let z be s(6). Let m be (1\/z + 75\/35)\/1. Solve 4*p - 2 - m = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-135)\/(-6)*14\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Solve -4*q + 11 = -i*y + 26, 3*q - 4*y = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*k - 118. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1234, -3444, -5654, -7864, -10074, -12284?\nAnswer: -14494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -872 + 874. Solve -q = 79*x - 80*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79)\/1*((-1400)\/(-735))\/40*-21.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 919 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1955158128 and -1.816.\nAnswer: -1955158129.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 5*z**2 + 3*z**4)*(-11*z + 38*z + 11*z).\nAnswer: 114*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 212190*f + 11256149025.\nAnswer: (f + 106095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-1*6))\/1 + 1797229\/399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - w**2. Let d be u(-1). Let z = d + -3. Solve z = 5*i + 10, -g = 3*i + 7 + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 1)*(3 + 35 - 9)*(t + 2*t - t).\nAnswer: 406*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/47 in 3\/4, 12, 1.8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02984218368 to three decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 8. Let p(n) = n + 8. Let q(r) = 3*j(r) - 2*p(r). Let v(l) = -l**2 + 12*l - 4. Let k be v(12). Give q(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, -63, -3, 0 in ascending order.\nAnswer: -63, -5, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 85 + 0 - 1118\/86.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 404386 - -166?\nAnswer: 404552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309731 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -30 + 5. Let q(i) = i**3 - 6*i**2 + 5*i + 2. Let c be q(u). What is m in 1\/4*m**c + m + 1 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304344265.\nAnswer: 5, 7669, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/4 of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let t(v) = 12865*v. What is b(t(d))?\nAnswer: -12865*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + -5*sqrt(119)*-3)*5*-6)\/(-5*3*5*sqrt(7)*5).\nAnswer: 32*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3\/3 + 565*f**2 + 52325*f + 2203285\/3.\nAnswer: 5*(f + 17)*(f + 161)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -0*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*b + 481 - 5821. Solve 0 = -b*h + 186*h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/56*0*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*i - 6, 5 = -8*v + 9*v - i. Suppose 2*t + 44 = v*t. Calculate the remainder when t is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 40.67. Let m = 0.13 - a. Sort m, 5\/3, 4 in ascending order.\nAnswer: m, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -388, -0.4, 2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**10\/k*k)**(-32)*(k**(-5))**(3\/25) assuming k is positive.\nAnswer: k**(-1923\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 279057009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + -23. Let a = -30 - y. Let v = a - 45. What is the smallest common multiple of 2 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.04 (c) 2\/13 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 25552 = 12*o. What are the prime factors of o?\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16624443 or -16624435?\nAnswer: -16624435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 968 - 740. Is b a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/9)\/(l**(-1\/2)\/l))\/(l**(1\/5))**(-27\/4))**(-4\/13) assuming l is positive.\nAnswer: l**(-593\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 1, p: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.1 (c) 297 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 35*x + 40*x + 26, 4*x = 3*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27312203\/1995 - 260238\/19. Let y = -39763\/105 - -2621\/7. Let z = y - d. What is the common denominator of z and -23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -347, -561, -795, -1049, -1323?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/(-12) + (-1)\/4. Let n(v) = 1. Let m(h) = 7*h + 3. Let q(u) = x*m(u) + 44*n(u). What is the derivative of q(w) wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-1 - -10 - 3)) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/22)\/((-456)\/(-1672)))\/(-1)*42\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {d: 2, b: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1248, 4980, 11196, 19896, 31080?\n\"Answer: 1242*k**2 + 6*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 u when four letters picked without replacement from {z: 2, u: 7}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let t(d) = d**3 - 3*d**2 - 4*d + 1. Let y be t(h). Let o = 27\/85 - 2\/17. Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 140 = -5*n, -28 = -3*n + 2*n - 5*f. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - f + 1. Let n(p) be the third derivative of 2*p**5\/15 + 3*p**4\/8 - 5*p**3\/3 + 2*p**2. Give -18*b(w) - 2*n(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 3*v, -3*y + 3*v = -y + 12. Suppose -4*z + 4*w = y, -3*z = -5*z + 4*w - 8. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 15*b + 38. Calculate n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 444740036 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*w - 198, 3*i - 2*w - 2*w = 195. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 37. Suppose -2*l - 3*w + 38 = 0, -2*l = -3*l + 4*w + 19. Let n = l + r. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(m + 2 - 2) - 4*m - m + 4*m + (-m - 4*m - 3*m)*(-1 + 2 + 1).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/7)*t**5\/t*(t\/t**0)\/(t*t**(-4\/19)*t*t) assuming t is positive.\nAnswer: t**(218\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2499\/1785)\/(322\/10).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 11 = 14. Let p be (-33)\/(-6) - 2\/(-4). Let r be -2 + p - 46\/11. What is the biggest value in r, t, 1\/10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15052950 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7381656 and 7381656?\nAnswer: 7381656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -691\/9305 - -466981\/9621370. Find the common denominator of n and 28\/5687.\nAnswer: 56870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003333214 rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 21*d**2 + 279*d + 1092. Determine x(-4).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -23245.77.\nAnswer: -23245.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1042 and -193?\nAnswer: -201106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/15*-2)\/(5\/25). Put o, -5, 122, 0 in descending order.\nAnswer: 122, o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1305819.8 and -0.4?\nAnswer: 1305820.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 8*p**4 + 1 - 5*p**4 - 7*p**4 in the form n*p**3 + g*p**4 + d*p**2 + z + y*p and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 - 17888*n**3 + 7210968*n**2 - 752680224*n - 2323422684 = 0. Calculate n.\nAnswer: -3, 219, 4037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2 - 9*d + 6. Let f be r(8). Factor -15*l + l**3 + f - 4*l**2 + 11*l**3 + 3*l**5 - 12*l**4 - 1 + 10*l**2.\nAnswer: 3*(l - 2)*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 5 - 2) + (3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-1\/12))*y)\/y)\/y**2*(y*y**(1\/4)\/y*y)**(-2\/19))\/(y\/(y**2*y*y)*y*y*y**4*y*(y**(-6)\/y)\/(y**(-2\/3)*y)) assuming y is positive.\nAnswer: y**(293\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67975450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 55. Calculate the least common multiple of k and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1830 - 1835. Which is the fourth smallest value? (a) 1\/11 (b) k (c) 2 (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 3*d + d**3 + 1 - 7*d**2 + 2*d. Let o be a(6). Is 0 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455, -4077, -10873, -20861, -34059, -50485, -70157?\nAnswer: -93093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 2. Let f be t(0). Suppose -2 = -f*n + 2. Suppose -n*p = -6*p. Solve p = -4*k + 12 - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b - r + 1131, 4*b + 2*r = 4534. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-8)*(-80)\/56. Is 4 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.68851 times 0.04\nAnswer: 0.2675404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 503*f + 6045. Suppose 0 = c + 2 - 34. Let y = c + -20. What is the least common multiple of l(-12) and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513029, -513028, -513027, -513026, -513025?\nAnswer: -513024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 93*o**4\/4 - 82*o**3\/3 + 32. What is the third derivative of r(b) wrt b?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2. Let b be (4\/(-6))\/((-389)\/2334). Let k(n) = -3*n**3 - 3*n**2 - 7*n. What is b*f(g) + k(g)?\nAnswer: g**3 + g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 15542200 to the nearest one hundred thousand.\nAnswer: 15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-10)*(-39)\/3. Solve w = k + 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58*f**2 - 13 - 9 + 42 + 44 wrt f.\nAnswer: -116*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/3069279 and 149\/14136.\nAnswer: 24554232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(1 + q + 2 - 5) to the form f*q + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -2. Suppose 2*v = -2*h + 5436, h + 2724 = 2*h + 4*v. Suppose 9*k = c*k - h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60017, 60033, 60069, 60137, 60249, 60417?\nAnswer: 60653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -3658, -3738, -3820, -3904, -3990?\nAnswer: -4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 576\/13, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67677.\nAnswer: 3, 17, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -259*0.2\nAnswer: -51.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2 + (3 + 0 - 4)*(2 - 1 + 1) + 12 - 1 + 2)*(4*o - 4*o - 2*o + (5 + 0 - 3)*(0*o + 3*o - 4*o) + o - 2*o + 0*o - 9*o + 14*o - 6*o).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (-32)\/(-2) + 295 + -23.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1562 and 35\/5822?\nAnswer: 64042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwr when three letters picked without replacement from wcbraru.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-270)\/35)\/(4 - (-117)\/(-21)) + -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 476*v**3 + 938*v**2 + 1416*v = 0.\nAnswer: -1, 0, 3, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-3*h**3 - 11*h**3 + 183*h**2 + 16*h**3) to w + m*h**3 + g*h + t*h**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**2 + 538*c*l**3 + 420*c*l**2 + 16392542*l**3 wrt c.\nAnswer: -6*c + 538*l**3 + 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165749 (base 10) to base 6.\nAnswer: -3315205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 493087365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2*i = 240. Suppose -5*q + 0*q = z + 6, -z = -4*q - i. Suppose 0 = -z*r - 52 - 18. Is r at most 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*k + 14828 - 2948. What is the common denominator of 426\/k*4*(-5)\/(-12) and -79\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 + f**2 + f. Let z be 12\/18 + 24\/(-9). Let p be c(z). Let u = 21 - p. Solve 5*y = 2*h + u*y - 2, 5*h = -2*y + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/(-15))\/((-4)\/(-21))*-370.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((1 - 0) + (24 + -57 - -11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 573 or -206?\nAnswer: 573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -24. Suppose 5*q - l + g = -9, -4*l + 27 = -5*q. Let y be ((-24)\/4 - q) + 33. Solve -4*i - 20 = -2*r, -5*i + 0*i + 5*r = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sooouxxxxu. Give prob of picking 2 x.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 9. Calculate j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 129, -497, 9, 2, 3, -5 in decreasing order.\nAnswer: 129, 9, 3, 2, 1, -5, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 2*s - 1. Suppose -3*j - y = 17, 0 = -4*j + 3*y - 8*y - 41. Calculate the remainder when 3510\/325 + (-1)\/(-5) is divided by n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/2*(9 + -7). Suppose -18 = 4*b - y*b. Let d = b + -4. Solve -d = -r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2606 in 2\/11, -2\/3, 5, 0.1, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 20\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 245\/98*(-8)\/(-10). Let s = 35 + -20. What is the third derivative of 2*n**2 + s*n**5 + 2*n**g - 220 + 220 wrt n?\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -237693808.\nAnswer: 47538761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1597983*f**2 - 3*f + 30099260 wrt f.\nAnswer: 3195966*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10281 + -10207 - 358\/2?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -15. Let d = q - -7. Solve -d*g = 2 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33550 - -79407. List the prime factors of y.\nAnswer: 7, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1242*j**3*x - 1288*j**3 - 31*j**2*x - 7 wrt x?\nAnswer: 1242*j**3 - 31*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260508?\nAnswer: 2, 315127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 n when three letters picked without replacement from {z: 1, y: 1, v: 4, k: 1, n: 8}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3. Suppose 3*x = -5*l + 24, -3*x = -4*l + 2 + 1. Calculate the remainder when (3 - 1)*((-66)\/4)\/(-3) is divided by y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/77 in 4, -2\/9, 0.2, 2\/13, 20\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/863 or 0?\nAnswer: -36\/863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7997 divided by -727.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 5*n**2 + 7*n - 2. Let c be w(6). Let z = c + 10. Let q = z - 9. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 1*sqrt(272) - (sqrt(17) + (sqrt(51)*-3)\/sqrt(3))) + (5*(sqrt(153)*1 + sqrt(153)) - sqrt(153))\/(sqrt(63)\/sqrt(28)))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*l - 4*b, -4*l + b - 2*b + 31 = 0. Let c(h) = -143*h + 296*h + 17 - h**3 - 148*h - 4 + 8*h**2. What is the remainder when c(l) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/i**(-1\/18))\/i*i)**22 assuming i is positive.\nAnswer: i**(605\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r + 72. Let b be (-70)\/(-12) - r\/27. Do b and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38131607 is divided by 801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111838, 223951, 336064, 448177, 560290?\n\"Answer: 112113*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 40*a + 37. What is h(39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 (base 7) in base 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 5977?\nAnswer: 5977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -144315711 + -1?\nAnswer: -144315712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 2*m - 1\/120*m**6 - 9\/80*m**5 - 9\/4*m**2 - 9 - 13\/8*m**3 - 29\/48*m**4. Factor c(y).\nAnswer: -(y + 1)*(y + 2)*(y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804118.\nAnswer: 2, 3, 467353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/6)\/(1\/5). Suppose z = t - 1, -8 = -2*t - 5*z + m. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 66. Suppose -53 = w*p - 62. What is the second derivative of 25*t - 15*t**p - 17*t + 13*t wrt t?\nAnswer: -90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -49 + 114. Let l be (18\/33)\/(w\/143). Solve -n + l = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 9*b + 5. Suppose 4*m - 5*k + 11 = -0*k, 0 = -5*m - k - 50. Let o be g(m). Let j = 9 - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/572811 and -16\/451.\nAnswer: 6300921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {d: 2, k: 1, g: 1, l: 3, p: 3, s: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16168*h**3 + 22827.\nAnswer: -48504*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1172 + -1165. Solve v - k*v + 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -5*r + 12*i + 6170, 5*r - i = 6170. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 9*p + 2. Let n be w(-6). Let m be ((-41)\/(-2))\/(4\/8). Let j = m - n. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 462015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 518\/(-28) + 11 - -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*c - 90, -3*c + 11 - 39 = -4*n. Let f = c + 16. Let h(m) = -m**3 + m**2 + m + 30. Is h(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241719.\nAnswer: 3, 197, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(450\/5)*-6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39970.4 + -38465. Round o to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -99*t + 32. Let q be w(-5). What is the highest common divisor of q and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**4\/4 + 5*r**3 + 9*r**2 - 15*r + 368. Calculate k(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1338)\/7805*(-98)\/6?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**4\/8 + r**3\/2 - 2*r**2. Let n be j(6). Let v = -221 + 410. Calculate the greatest common divisor of v and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 7, 3, 3\/8, -2\/21, -0.5, 0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8024893.\nAnswer: 37, 107, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -271*m**4 + m**5 - 1301*m**2 - 291*m**4 + 1299*m**2 + (-1 + 1 - m)*(-3*m**4 - m**4 + 2*m**4).\nAnswer: 3*m**5 - 562*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 2*a + 5. Let l(v) be the third derivative of 25*v**2 + 0*v + 0 - 1\/6*v**4 + 1\/15*v**5 - 11\/6*v**3. What is -6*l(t) - 13*w(t)?\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -7805, -26306, -62363, -121826, -210545, -334370, -499151?\nAnswer: -710738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30157465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168980 is divided by 1077?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3705.7 - 632.7. Let o = 2822.2 - t. Round o to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 2, -191, -9, -3 in descending order.\nAnswer: 2, 0, -2, -3, -9, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -33*d**3 - 17*d**2 - 65*d - 13. Let p be i(-3). Calculate the highest common factor of p and 4370.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - -45)\/18 + 3. Put w, -1.5, 7 in increasing order.\nAnswer: -1.5, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71490720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -3*b + 3*v - v, 5*b = 4*v + 164. Let h = -18 + b. Let p(k) = -2*k - k - h*k**2 - 1 + 13*k**2. Give p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*l + v + 16, -2*v = -2*l. Let n(z) be the first derivative of -5*z**2\/2 + 2*z + 1. Calculate n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -294\/31, -4, -0.332?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/3))**(-42)\/(f*f**(-4)*f*f\/f**(-6)))**(-5) assuming f is positive.\nAnswer: f**375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -55*v + 29*v. Let z be -1 - 0 - (1 - 9). Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t**2 - 8*t + 12*t + 18*t - 4*t to n*t + a*t**2 + r and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/5 (b) -5 (c) 62\/13 (d) 2 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 19. Let x be s(-19). Suppose -2*l = x - 178. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 16, -1, 0.06, 85?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 12) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2)\/s**(-1))**(-32\/3) assuming s is positive.\nAnswer: s**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 71 in ascending order.\nAnswer: 4, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1174 - 1171. Let a = -0.2 + 0.7. Sort c, 2\/13, a in decreasing order.\nAnswer: c, a, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 3. Let w(m) = -4*m**2. What is z(w(u))?\nAnswer: -12*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-315)\/(-12))*4530\/(-906)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 13 + -10 + -9 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49990018 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/89898 and 40\/21260877?\nAnswer: 42521754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*((-125400)\/44)\/(-19)*1\/(-14)\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 82\/((-10)\/(-3 - 2)). Which is smaller: l or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362501719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*v, 2*v = 4*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 860\/9 + -4048\/45. Which is smaller: g or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*w + 1473, 4*w = -5*i + 404 + 2073. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -71*d**2. Let k(l) = 183*l. Determine m(k(c)).\nAnswer: -2377719*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 7*l + 14*l - 100 - 96 + 7*l + 287.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (693 - 635) + -1 + -23.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 73*o + 399. Let h be l(5). Solve 162*b = h*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 38716289\nAnswer: -5\/38716289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 6*sqrt(176)*1 + sqrt(176) - (2 + sqrt(176)*3))*6)**2.\nAnswer: -2880*sqrt(11) + 158544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 121 = 5*n. Suppose -n*c + 16*c - 3*g = 36, -g + 21 = 2*c. Solve -9*f = -6*f - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from qqqtyyqyqtt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 7938b?\nAnswer: 7938b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*i - 10. Suppose p - 20 = -l, -2*p - i = -4*p + 5*l. Solve -3*h - 3*m - 5 = p, -5*h - 26 = 2*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 8. Suppose -5*a + w = -10 - 33, p*w + 6 = 0. Suppose 0*x + x = a. What is the remainder when 22 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 12*k - 88. Let n(y) = y**2 - 5*y + 38. Let a(m) = 7*n(m) + 3*z(m). Let h(r) = -r**2. Calculate a(d) + 2*h(d).\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.6 + 58. Let r = -4726948783.60000153 + 4726948808. Let f = r - v. Round f to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 8*q. Let i(s) be the third derivative of s**5\/60 - 7*s**4\/24 + 2*s**2. What is -5*i(x) + 4*t(x)?\nAnswer: -x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 - 15*a - 8. Let p be x(4). Put -3, p, -1, 2 in ascending order.\nAnswer: p, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(1216) + sqrt(1216) + -1 + 2 + 0 + sqrt(1216) + 3 + sqrt(1216) + 0)**2.\nAnswer: 320*sqrt(19) + 19481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199 + 247. Suppose 4*n + 3*b - 127 = -0*n, n + 4*b = k. What is the remainder when 105 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -158, -658, -1492, -2660, -4162?\n\"Answer: -167*k**2 + k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0*t**2 - 2*t**2 + 4*t**2 - t**2. Let v(q) be the first derivative of q**2 + 1. What is k(v(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69\/100 - 3\/50. Let n = -6.9 + 7.2. Which is the closest to 2\/35? (a) t (b) -2\/19 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 2, -p - 220 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1566, 1562, 1558, 1554?\n\"Answer: -4*c + 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -13. Suppose -4*f + g*d = 50, -2*f + 0*d = -4*d + 40. Let p be f\/4*(-1 + -5). Solve 3*n + 2*n = -p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15026 > 15024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -1*(0 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - i = 6*k + 101252, i - 1 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.75 - -4.\nAnswer: -15.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357858.\nAnswer: 2, 113, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15220, -30453, -45686?\n\"Answer: -15233*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173140 and -3.\nAnswer: 519420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0036 - -0.057. Let a = g + -261.0534. Let i = 264.03 + a. Round i to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 29 - (-12 + -24 - (1 - -1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**2 - 117*i - 46. What is j(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -1 + (-16 - -21 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q - 4. Let m(c) = 37*c - 9. Give -3*m(j) + 7*s(j).\nAnswer: 15*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91373 is divided by 1990.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -u + p, 0 = -4*u + 5*p. Let g(d) = 105*d**2 - 56*d. Let x(a) = 19*a**2 - 10*a. Let c(s) = u*g(s) - 28*x(s). Let v(w) = 6*w. Give c(v(t)).\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12067542 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73227664 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/23 and -79\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12512291959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j + 2*y, 5*j - 15 = 5*y. Let c(a) = -6*a**j + 0*a - a**2 - 6*a - 9*a**3 + 5 + 8*a**3. Calculate c(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84 - -89. Suppose 3*s + l - 58 = 27, 0 = -4*s - q*l + 117. Solve 5*x + 8 = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -30. Solve -o + 6 = -2*o - s*g, 2*g + 6 = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - -24)\/((-2)\/2). Let h = o - -18. What are the prime factors of (22\/4)\/((-8)\/h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.7. Let z = h + -0.7. Let y be 126\/45*-5 + 12. Which is the nearest to y? (a) 4 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 865\/(-225) - (2 + -6). Let r(b) be the second derivative of 0 - 1\/6*b**4 - g*b**6 + 2*b - 2\/9*b**3 + 0*b**2 + 2\/5*b**5. Factor r(h).\nAnswer: -2*h*(h - 1)**2*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*j = 16, 7*j = 5*z + 676 - 710 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 583*f**3 + 11*f**2 - 7*f - 46. Let u(z) = 437*z**3 + 8*z**2 - 5*z - 34. Give -8*m(w) + 11*u(w).\nAnswer: 143*w**3 + w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/6)*k*k)**(-10\/7)\/(k**4\/k**6) assuming k is positive.\nAnswer: k**(-53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 + 111. Let h(m) = m + 7. Let i(a) = 1. Let z(t) = h(t) - 6*i(t). Let b(c) = -2*c**2 - 8*c - 6. Give v*z(q) - b(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = 4*u. Let p be (18\/(-12) + -4)*(-2 - 0). Suppose -o + p = -3*d, 6*o + 2*d = 10*o - 54. Solve 3*y + u*h = o, -3*y + 0*y - 5*h = -26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384097487 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -6 - 1033\/(-30). Let j = -203\/5 + q. What is the common denominator of 73\/4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/42 - ((-4)\/(-3) + -1). Let j = -19\/14 - z. Sort -3\/2, j, -14 in ascending order.\nAnswer: -14, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 168 = -7*n. Let g be 10\/15 - n\/(-18). Solve 2\/3*a**4 - 2*a + 2*a**3 - g + 2\/3*a**2 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsssssssssbsbs. Give prob of picking 2 s.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 26 = -2*w - 3*w, -2*b = -5*w - 16. Let j be b - (1 - (7 + -3)). Let f be 2 + 1 + (-4 - j). Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (476\/(-52) - -4) + (-78)\/(-13) + -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5248 - 5247.8. Which is the nearest to 0.1? (a) 1 (b) 0.4 (c) 0.38 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(432) - (sqrt(432) + 2*(1 + sqrt(432) + sqrt(432)))) - (0 + sqrt(432)*-2*1))**2.\nAnswer: 6336*sqrt(3) + 209232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(35)*2 + sqrt(35))\/sqrt(5))**2) + sqrt(28)\/sqrt(4)*-2.\nAnswer: -63 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.7 - 2.3. Let g = 25 + s. What is the biggest value in g, 0.4, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:52 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(7) + -3)*5 + -1)*4)**2.\nAnswer: -2720*sqrt(7) + 7424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 2. Let a(m) = 16*m + 74. Let u be a(-5). Let i(t) be the first derivative of -2*t**2 + 7*t - 1. What is u*i(b) + 21*p(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -21.6. Let d = 18.6 + w. Let r = 11 - d. Which is the nearest to -15? (a) 0 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3\/15 + 452*y**2\/5 - 102152*y\/5 - 107. Solve t(q) = 0.\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (65\/15)\/(3\/(-126)). Let z be (-3)\/14*8*t. Let b = z - 217. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.79 + -0.09. Let y = -0.3 + -0.5. Let z = i + y. Is 0.6 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p**2*s**2 + 4381*p**2*s - 24*p*s + 6*s**2 - 85*s wrt p.\nAnswer: 20*s**2 + 8762*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2389333 or 2389371?\nAnswer: 2389371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(51)\/sqrt(3) + 2)*2.\nAnswer: 2*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -50 - 15*l + 9*l + l**2 + 55. Determine x(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3920 and 290864?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 + -1) - (-9 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539 - 542 - 17*q + 1081.\nAnswer: -17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxbbxff. Give prob of picking 2 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 4*t. Let q = t - 5. Is ((-184)\/12)\/(2\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 1130, 3847, 9138, 17861?\nAnswer: 30874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfffcfffcf. What is prob of sequence ff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220201010002 (base 3) to base 4.\nAnswer: 3320132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(-14) + -46 + 3905\/71.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 115235859, 230471723, 345707589, 460943457, 576179327, 691415199?\n\"Answer: r**2 + 115235861*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w - 4*k - 0*k, 0 = 2*w + 4*k - 18. Solve -w*p = -4 - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + h = -16, 4*h = -4*n - 24. Suppose -9*j + 5*j - 68 = 0. Let l = n - j. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 243. Suppose 0 = 3*c - 5*n + 3*n - 98, 4*n + 52 = 2*c. Calculate the remainder when c is divided by h(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc + -56a9?\nAnswer: -55ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6086 + -6086.4. Let u = -7 + 3. Which is the nearest to -2\/9? (a) 1\/4 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44870, 89726, 134578, 179426, 224270, 269110?\nAnswer: 313946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -8. Let c = x - 5. Suppose -c*s + 19 = -14. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from slqlqqql.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 337 + -334. Solve 6*h = d*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653794880 rounded to the nearest 1000000?\nAnswer: 5654000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*r + 13 = 0, 0 = 8*m - 3*m - 2*r - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -3*j + 22. Suppose j*q - 71*q = -526. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - (20\/(-16))\/5. Solve 4*k = z + 16, a = -5*z - 0*k - 3*k + 35 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qweewqeeeweqeeueeey. Give prob of sequence ey.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3965197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 + 177. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2 - (-60)\/24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119661995 divided by 4.\nAnswer: -119661995\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (-7 - 26 - -39 - -23)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((6\/(-2))\/(((-1323)\/714)\/21)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 1 + 7\/24*y**4 + 0*y + 13*y**2 - 1\/6*y**3. Determine c(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103 + (4 - (-1 + 3))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 times 36?\nAnswer: 38.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6925 by -1385.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5484, 10338, 15190, 20040, 24888?\n\"Answer: -q**2 + 4857*q + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 3*y**2 - y**2)*(-235*y**3 + 248*y**3 - 2 + 5).\nAnswer: -39*y**5 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*d - 8639, d + 14640 = 4*k + 5995. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255 - 252. Suppose 0*k - d + 41 = s*k, 5*d + 5 = -k. Let t(p) = p**2 + 3*p + 5. Let c be t(5). What is the highest common divisor of c and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 153.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 409*s*y**3 + 2*s*y**2 + 95*s*y - 2*s - 7*y**3 - 4*y**2 + y - 9 wrt y?\nAnswer: 2454*s*y + 4*s - 42*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arjjayrjyrj. What is prob of picking 1 j and 3 r?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52, 634, 2228, 5344, 10492?\n\"Answer: 85*k**3 - 4*k**2 - k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 1\/2*b**4 + 0*b - 1\/60*b**5 + 0*b**3 - 2*b**2 + 0. Is 18 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 11*n**2 + 3*n - 5. Let h be z(-11). Let g = h + 54. Is (-2554)\/(-8) + ((-20)\/g - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6158, -6017, -5910, -5837, -5798, -5793?\n\"Answer: -17*g**2 + 192*g - 6333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13217.9 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 34\/5, -5, -322, -12?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1946 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2847436?\nAnswer: 2, 711859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.028 + -0.119. Let i = b - 0.053. Let z(u) = u**3 + 5*u**2 + u + 15. Let n be z(-5). What is the third biggest value in -0.5, i, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1700) + sqrt(1700)*-2 + 4))**2.\nAnswer: -2000*sqrt(17) + 42900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/3, 3\/8, -2, 161.9, 0.4 in decreasing order.\nAnswer: 161.9, 0.4, 3\/8, 1\/3, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000195 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 11*v**2 + 89*v + 149. Let t be z(-16). Solve -3*i + 3*m = 9, -t*i + m + 9 = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75479027 + 4305*h - 75479027.\nAnswer: 4305*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421427 is divided by 251?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/5)\/(91\/(-65)). Suppose 3*f + 1 = -w, -5*w = 4*f - 7*f - 13. Do u and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 5*d - 26. Determine x(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a millennium in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*q - 1701194 = -1717080 for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(27\/(-81)). Let q be (-1)\/1*u - (-36)\/12. Solve 0 = m + 4 - q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + -6 - 42 - 1\/(-1) and -55\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160448333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 >= -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1575 + 0.1425. What is the third biggest value in n, 7, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - 4*p - 5*p + 2*p + 4*p + (-1 - 3 + 3)*(-p - 2 + 2).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34 (b) -0.07 (c) 0.5 (d) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102622 or 102617?\nAnswer: 102617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -1117\/3?\nAnswer: -1117\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1)\/2 - 198\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytybttyynynyibt. Give prob of picking 1 b and 1 y.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m, 3*c - 2683 - 4337 = 3*m. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16 - ((-14)\/(-8) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -29. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j**3 + 5*j**2 + 5*j. Let b(n) = -20*n**3 + 24*n**2 + 24*n. Let s = 100 + -124. Give s*m(c) + 5*b(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71.9 - -72. Let c = -1\/9 + -4\/45. What is the second smallest value in -3, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2596539 and 1555?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 p when four letters picked without replacement from {h: 3, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 2\/31, -161, 0.8 in descending order.\nAnswer: 0.8, 6\/11, 2\/31, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -h - 5*x, 2*x + 161 = -3*h + 28. Is (-18046)\/(4\/(-4)) - h\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*y = -6062 + 934, -4*a + 5128 = 2*y. Let v = a + -1287. Let b = 2 + -3. What is the second smallest value in -0.4, b, v, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(3 - 3 + 3)*(0 + 3 - 1)*(4 + 1 - 6)*(s + 2*s - 2*s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3 + 0*t**2 - 2*t**2 - 2 + t**3 - 2*t. Let p be c(3). Suppose 0*x + 32 = p*x + w, -x = w - 11. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48, 99, 148, 195, 240, 283?\n\"Answer: -k**2 + 54*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2948*j + 2164 = -784 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*p, 0 = -h - p - 3*p - 6. Let r(t) = -10*t - 8. Let o(l) = -5*l - 4. Let a(k) = 11*o(k) - 6*r(k). Is 17 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 1\/3*u**3 + 0*u**2 + 0 + 34*u. Let q(l) = -9*l - 5. Let d(z) = -4*z - 3. Let v(x) = -5*d(x) + 3*q(x). Give v(b(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72 + 63 + 2*h + 44 + 87*h**2 + 35*h**2 + 46 wrt h.\nAnswer: 244*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - (-2197)\/117. Suppose -4*r = -527 + l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12724933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(3 - 8)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1794\/26*(-4)\/(-44)*-11.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-2)\/(-10))\/((-9)\/(-15)))\/(376\/(-258312)). Suppose 3*d - 2032 = -3*z - 541, z = 3*d + 485. Let c = o + z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 591749530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - (-9 + 6)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56148230.\nAnswer: 2, 5, 19, 295517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -16. Suppose -25*s + 124 = 25*s - 19*s. Sort 1\/5, 5, t, s in decreasing order.\nAnswer: 5, s, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -6 - (0 - -11). Let b(i) = i**2 + 12*i + 13. Suppose a = 5*v - 11, -a - 5*v = 2*a - 47. Calculate the lowest common multiple of b(k) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0686 - 392.\nAnswer: -392.0686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -14*p. Let t(j) = -j**2 - 13*j - 10. Let b be t(-12). Suppose 2*g = b*n, g - n - 2*n = p. Put g, 5, 1 in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*v**3 - 45*v**3 - 12*v**4 + 22*v + 86*v**3 + 14*v**4 - 4 to the form g + n*v**3 + m*v + i*v**2 + w*v**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from dkldklddlkdllkdlkkl?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 - 3 = 0. Let r(s) = 36*s**2 + 5*s + 4. Let g be r(-1). Let l = g - 56. Is i at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -29743*r**2 - 32*r - 29. Let n be u(17). What is n rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-135)\/(-6))\/((-45)\/(-60)))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003496001 rounded to 7 decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367.034 - 367. Let d = -0.03231 + g. Round d to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2824 - -2838 - (-1 - 5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37175 by 1.\nAnswer: -37175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/20, 0.5, -3, -23\/5, -2?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 x when four letters picked without replacement from {q: 9, x: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -1369.7.\nAnswer: -1368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let v(f) = 29387354*f. Determine d(v(b)).\nAnswer: 1727233150242632*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.09 - 32.1. Let x = c - -0.01. Let i = -2.57 - x. What is i rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, 4, 0.4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -6*d - 9. What is the remainder when 12 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 3815?\nAnswer: -22890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1300)*2 + sqrt(1300) - -1*sqrt(143)\/(sqrt(176)\/sqrt(4)))**2.\nAnswer: 48373\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28660, -56916, -85144, -113344, -141516, -169660, -197776?\nAnswer: -225864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 5*l - 6. Let w be g(3). Suppose 3*j - 20*m + 15*m - 1252 = w, -3*j = -m - 1256. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/(2\/(-6)). Let u be 1 - s - -24 - 2. Let m = 6 - -2. Calculate the highest common factor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 1 + 3 - 2)*(4 - 4 - 3*o**2)*(-2 - 1 + 0 + (1 - 2 + 2)*(3 + 1 - 2)).\nAnswer: -6*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.487 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -84.3. Let h = 1.1 - m. Which is the second smallest value? (a) 0.4 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -24, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(3\/5)*p\/(p**(4\/3)*p)*p**(2\/11)\/(p*p**8\/p) assuming p is positive.\nAnswer: p**(-1444\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d - 46 = -46*d + 2*h - 63, 0 = -5*d - 4*h + 29 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 8. Put -1, l, 4 in descending order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11600 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.57 * -584.29.\nAnswer: 14940.2953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 864 divided by 12\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + z - 21. Let v be b(5). Suppose -v = 3*f, 0 = -4*k - 4*f + 8 - 12. Solve k*d + 14 = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**3*s*w**2 + 15252*h**3*w**3 - 51*h*s*w**3 - 7357*h*s*w**2 + h*w - 2*s + 1 wrt w?\nAnswer: 91512*h**3 - 306*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*u + 9 = -13, 2*r + 5 = 5*u. Put r, 3, 6 in ascending order.\nAnswer: 3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -43*h**6\/40 - h**5\/30 - h**4\/24 + h**2. Let v be o(-1). What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8211.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**8\/112 + 3*b**7\/140 + b**6\/10 + 3*b**5\/40 - 9*b**2. Find a such that c(a) = 0.\nAnswer: -1, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 3, z: 3, q: 1, y: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1 + 1 - 80*q**2 - 87*q**2 + 166*q**2. Let d(y) = 54*y. What is d(w(r))?\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2. Let i(a) = -5*a + 2*a - 6*a + 4*a + 4*a. Calculate i(w(c)).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-4)\/84 - 0). Suppose -5*x = k - 4*k + 81, 3*k = x + a. Let d = 7 - x. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsspvvmfvsstvfp. What is prob of picking 2 p and 2 v?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41364412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-14)*2 - 14*1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34756*h**6 + 4*h**4 + 9*h**3*m + 9857446*h**2*m wrt h?\nAnswer: -4170720*h**3 + 96*h + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -58, -99, -146, -199?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*v - 28, 0 = -2*v + 23*y - 15*y + 34. Solve 21 = 3*f + t, 3*f + v*t - 33 = -0*t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -11. Let d(l) = i*l - 7*l - 4*l - 7*l. Let u(v) = v. Calculate d(u(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3030542433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 5. Let r(h) = -4*h + 5. Let d(p) = 7*f(p) - 6*r(p). What is d(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-21) - (2 + (-16)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, 0.5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2130331?\nAnswer: -2131001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*o + 2 - 207*o**4 + 4*o**2 - 271*o + 542*o + 6*o**2 + o**3 - 9*o**2 as j*o + g*o**4 + s*o**3 + b + d*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 - (1 + -6). Let i be 1\/(-1)*(-4)\/1. Factor -14*z**i - l*z - 32*z**3 + 6 - 6 - 22*z**2.\nAnswer: -2*z*(z + 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -2270, -6780, -15342, -29306, -50022?\nAnswer: -78840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 18 = x - 5, -3*p + 5*x = -31. Calculate the smallest common multiple of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**8\/1344 - h**6\/144 + h**4\/2 - 18*h. Let p(u) be the third derivative of c(u). Find the second derivative of p(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101100110010001 (base 2) in base 5?\nAnswer: 140223212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 3. Suppose -5*i - 2*s + 16 = 0, -3*i - 3*s + b - 1 = 0. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54069259?\nAnswer: 79, 383, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 441?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*f**3*p**2 - 3*f**3*p + 549*f**3 + 2*f*p**2 + 3*f*p - 6*p**2 wrt p.\nAnswer: 134*f**3 + 4*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= -837\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46134230 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.75 (b) 2\/5 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -37, -6, -66, 5 in descending order.\nAnswer: 5, 3, 2, -6, -37, -66","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - 3 - -7 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.165 and 563?\nAnswer: 563.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-13) - (-58923)\/39 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5678?\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19292*q**2 - 57853*q**2 + 19289*q**2 + 19283*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/20 - 5*w**4\/12 + 5*w**3\/6 - 1492*w. Let s(a) = -a - 1. Let v be s(4). Calculate b(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -401 + 3?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347157533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -2ac3?\nAnswer: 2abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 7*v + 1 - 5*v)*(10 - 2 + 4) as l + o*v and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - z + 24 = 2*z, -z - 3 = 0. Let b = -16 - j. Suppose 0*d + d = 0. Put d, b, 4 in decreasing order.\nAnswer: 4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290 = -1635*y + 3250 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by -18856.\nAnswer: -29\/4714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 941580*11.\nAnswer: 10357380","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -109133760 rounded to the nearest one hundred thousand?\nAnswer: -109100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100031 + -12?\nAnswer: 1100013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 2*d**2 - d. Let s be a(-2). Suppose -2 = -0*f - s*f, f - 43 = -l. Let z = -22 + l. Calculate the lowest common multiple of z and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.3 + -96.3. Let c = z + 84.9882. Round c to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + n. Let i = n - 1. Let m(t) = -5*t + i*t + 0*t - 5 + 2*t. Determine m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*-2)\/(6*sqrt(144)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*2)\/sqrt(9)*3*5.\nAnswer: 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(2 + -4) - 1. Suppose 0*l + l - 28 = -5*g, -b*l + 24 = -4*g. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*w - 505*w + 11016 = -761*w for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -905?\nAnswer: 90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.27, 393058, -2, 1\/5, 5, 4?\nAnswer: 393058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 242675579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010001101001101010 (base 2) in base 5?\nAnswer: 410121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 684203 + 33832. Suppose -2*w + 239965 = -n. What is w rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -7. Let p be 34*(v\/2 + 4). Let h = -22 + 30. Solve 3*n + h + 2 = 2*d, 3*n = -5*d - p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 5. Let c(b) be the third derivative of 0 + 17*b**2 + 0*b + 1\/6*b**3. Calculate 5*c(m) + j(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061882 + 0.357765.\nAnswer: 0.295883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(77)\/(-3*sqrt(112)))**2*5.\nAnswer: 55\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 + 465. Sort 1, g, 2, -9.\nAnswer: -9, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 4*d**2 - 6*d + 1. Let g be m(4). Round g to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6\/15)\/(1\/10) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3, 8 + 19 = 4*r + 5*h. Solve -r*b + b - 6 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 0, 99955, -2, 5 in increasing order.\nAnswer: -13, -5, -2, 0, 5, 99955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-12))\/((-2)\/24). Let h be 1260\/12 + 1*y. Let u = 149 - h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-27) - 40\/6. Is ((-4778)\/g + 0)*12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -213*s**4 - 2*s**3 - 10*s**2 - 2 wrt s.\nAnswer: -5112*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + -5.7. Let i = 1.0522 - 0.0522. What is the closest to i in 0.3, -5, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, -0.1, 37, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/222 and -2 + 3 + (72152\/2368)\/(-29)?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35030*u - 35030*u + 1528*u**3.\nAnswer: 1528*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/2 + 43*l**3\/3 + 23*l**2\/2 - 13*l - 147. Let r be d(22). Solve 0 = 4*y - r*y + 2*c - 23, -4*y - 28 = -4*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724547*r**2 - 276233*r.\nAnswer: -1449094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 8) - (-3 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3508.27 + 1766.6. Round q to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1157*i + 465138. Determine y(402).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1053307 - -492527. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - 9*r**2 - 5*r + 1. Let p(d) = -2*d**3 + 5*d**2 + 3*d - 1. Give -3*l(q) - 5*p(q).\nAnswer: q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 3*l + 2. Let r(s) = -4*s**3 - 96*s**2 + 17*s + 12. Give r(f) - 6*y(f).\nAnswer: -4*f**3 - 84*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 6:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/5))**(-21) assuming v is positive.\nAnswer: v**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:35 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1814 - 932. Suppose -55*t = -49*t - h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/7 - b**3\/7 - b**2 + 13*b\/7 - 6\/7.\nAnswer: (b - 2)*(b - 1)**2*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110502 (base 6) to base 14.\nAnswer: 16538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5 - 79512*c**4 - 317996*c**3 + 795096*c**2 + 2226142*c + 1192560 = 0. What is c?\nAnswer: -39752, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 36. Let p = 20.59 - -5.41. Let b = o + p. Which is greater: -1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Let a = -196 + 193. What is the closest to 1 in 0.4, q, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745872, 745869, 745842, 745785, 745692, 745557?\nAnswer: 745374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4 + 1) - -4. Suppose -2*i + 18 = v*h, -i - i - 2 = -2*h. Factor 2*u**5 - 9*u**4 + 9*u**4 + i*u**4.\nAnswer: 2*u**4*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -100*y**3 + 110*y**2 - 110*y + 110. Let n(k) = -k**3 + k**2 - k + 1. Determine 220*n(p) - 2*o(p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267.7*-3.\nAnswer: 803.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -186, -370, -554, -738, -922, -1106?\n\"Answer: -184*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let q(l) = 69*l + 46. Suppose -s - 349 = -5*w - 0*s, 2*s = -5*w + 337. Let u(r) = -4*r - 2. Let z(c) = w*u(c) + 3*q(c). Calculate i(z(b)).\nAnswer: -4761*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1*sqrt(3000) - sqrt(3000) - sqrt(3000) - sqrt(3000)) + sqrt(3000))\/(2*(sqrt(810)*-3 - sqrt(810) - sqrt(10))))**2.\nAnswer: 9075\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2239 is divided by 502.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*g - 3*g + 2 = 0, -5*q + 4*g = -13. Let k(r) = -2*r**2. Let o be k(q). Is (o\/4)\/((-1)\/154) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0, -4 in increasing order.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -5*u, 5*w - 4*u - 15 = 10. What is the lowest common multiple of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a + -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5019168 by 16296.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 93556925302.\nAnswer: 93556925301.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 11*f - 6. Let b be y(10). Let d = 62 + -49. Suppose -b*h = -59 - d. What is the highest common divisor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 4, q: 4, s: 1}. Give prob of picking 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -16 (b) 1 (c) 3 (d) 1\/6 (e) -315 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1679 - -1678.9. Put -3, 116, z, 4, -5 in ascending order.\nAnswer: -5, -3, z, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) -81 (c) 0 (d) 3 (e) -1 (f) 1\/2 (g) -1698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-1910)\/120 - 53\/60.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**3 - 33*l**2 + 7*l + 7. Suppose 111*b - 150*b = 181*b - 1540. Let z(c) = -6*c**3 - 16*c**2 + 4*c + 4. Give b*z(x) - 4*o(x).\nAnswer: 2*x**3 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39214125.\nAnswer: 3, 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 5*k**2 - 2*k + 4. Let y(n) = -4*n**2 - n + 3. Suppose -4*r - 12 = -7*r. Calculate r*y(o) - 3*d(o).\nAnswer: 3*o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/24 - 5*r**5\/6 + 125*r**4\/24 - 27*r**2 + 49*r. Let h(k) be the first derivative of t(k). Determine a so that h(a) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-14))\/(64\/224).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3756511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/v**(3\/11)*v*v*v)\/v)\/v)\/(v*v\/(v**(-2\/47)*v))*v*v*v*v**(3\/4)*v**12)**(1\/13) assuming v is positive.\nAnswer: v**(36055\/26884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3531 is divided by 1042.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(-2\/27)\/(((f\/(f*f**(2\/11)))\/f*f*f)\/(f**(-6)*f)) assuming f is positive.\nAnswer: f**(-1717\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose n*x - 38 - 2 = 0. Let o(g) = 3*g. What is the remainder when x is divided by o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 136, 23, 10, 5 in descending order.\nAnswer: 136, 23, 10, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025794.\nAnswer: 2, 23, 47, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 61*s - 144. List the prime factors of t(66).\nAnswer: 2, 3, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:05 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358677, 717526, 1076375, 1435224?\nAnswer: 1794073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.6732 millimeters in meters?\nAnswer: 0.2306732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/((-10)\/20). Suppose -4*j - t*u + 97 = j, -4*j + 4*u + 84 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 - 22*q)*(-3*q - 3*q + q) + (2*q - 3 + 3)*(-q + 1 - 1) to h*q + c*q**2 + b and give c.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-six fifths of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/20 and -29\/167634.\nAnswer: 1676340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**6 - 175*n**4 + 3*n**2 - 10*n.\nAnswer: -480*n**3 - 4200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11\/3)\/(d*d**(-1\/8)\/d)*d**(-1\/19)*d**(8\/9) assuming d is positive.\nAnswer: d**(-3701\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 1. Let a(i) = 4*i + 2. Let q(z) = 2*a(z) - 3*f(z). What is q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/n)**19\/(n**34\/((n\/n**4)\/n)) assuming n is positive.\nAnswer: n**(-703\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -72699*g. Let c(h) = 14*h + 2. Calculate c(i(b)).\nAnswer: -1017786*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 181 = -231 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 758*r - 17155. What is i(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 15, 0, -395, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 + 11*d. Determine w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 2*u - 4*u**2 + 3*u**2 + 2 + u**2 to m*u**2 + f + w*u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681342624?\nAnswer: 2, 3, 197, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/5, 0.1, -8 in increasing order.\nAnswer: -8, -2\/5, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (208 - 241) + -11 + 4 + 1 + 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1713 + 1719. Suppose 4*d - 1288 = 4100. Suppose 0 = -3*p + t*p - d. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + 3*v**5\/20 - 3*v**4\/8 + 3*v**3\/2 - 3*v**2. Let u be x(8). Is u != -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -105. Let v = b + -75. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3*f*f*f*f\/f**(3\/4)*(f\/(f\/f**(-1)))**9 assuming f is positive.\nAnswer: f**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = o. Let g be ((-77)\/(-3) + 0)*3. Is (o - 0 - g)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -195 (c) -0.3 (d) 0 (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/14448980 and -81\/14.\nAnswer: 14448980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10027\/348 - -693\/29. Let i = -46979411\/180432 - -65\/11277. Let b = 1809\/7 + i. What is the common denominator of t and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*l + 13 + 9 = 0, 13 = f + 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.29938682 to 2 decimal places.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499 + 0.16.\nAnswer: 499.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -249293 take away 0.9546?\nAnswer: -249293.9546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + (sqrt(363) + -3)*2)*-5)**2.\nAnswer: -1100*sqrt(3) + 36325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 70.7906 and -101?\nAnswer: 171.7906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 724932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 177*g + 9944. Determine a(-56).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6850391878 rounded to the nearest 100000?\nAnswer: -6850400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Let k be (5\/(-4))\/(1\/8). Is (-64)\/k + r\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3613730556 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/18 - (-5 + -138626) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1969 - -2457. Calculate the greatest common divisor of 1098 and x.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p + 4*p + 0 - 2. Let d = 4 - 3. What is the remainder when n(-4) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + u + 1 + (1 - 1 - 2)*(-4*u + 0*u + 3*u) - 2*u + u + 0*u)*(6 - 2 + 12) to y*u + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.9 - -37.1. Let u = -46.77 + w. Let v = -2.23 + u. Which is the closest to 3? (a) 2\/3 (b) v (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 12049981.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261584304 and 261584304?\nAnswer: 261584304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13769884 divided by 5?\nAnswer: 13769884\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 102?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + sqrt(17))*-1 - (sqrt(612) + 2 + sqrt(612))) + (sqrt(306)\/sqrt(54))\/(sqrt(147)*-1) + -4)**2.\nAnswer: 1348*sqrt(17)\/7 + 1946549\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 32 = -4*z, 317*y - z - 41 = 160*y + 154*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.232 and 0.1.\nAnswer: -0.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-20)\/8 + (-1683)\/22. What is z rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -v + 14, 3*v = -5*g + v - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -27, -26, -23, -18, -11, -2?\n\"Answer: g**2 - 4*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 847850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -574, -1295, -2304, -3601?\nAnswer: -5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -49.9, -1\/7, -0.3, 0.2 in increasing order.\nAnswer: -49.9, -4\/5, -0.3, -1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p + 0*p - 4*p)*(-2*p + 2*p + p) + (-3*p**3 + 3*p**3 - 2*p**3)*(1 + 4 - 4) - p**3 - p**3 + p**3.\nAnswer: -4*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4 + 6. Let h be ((-828)\/115)\/(z\/10). Let u = 155 + h. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*i**4*o**2 + i**4*o + 9*o**2 - 7 wrt i?\nAnswer: -320*i**3*o**2 + 4*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*(sqrt(700) + 2) - (sqrt(700) + sqrt(700)*2 + -2 + sqrt(700)))*-1 + 2 + 4)**2.\nAnswer: 7000*sqrt(7) + 172000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 328704237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21825 divided by -4.\nAnswer: -21825\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166 - -199. Let z(j) = -19 - 14 + g - 3*j. Let m(n) = n + 16. Give z(m(r)).\nAnswer: -3*r - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 14*j**2 - 20*j + 50. Let z be b(-12). Suppose 0 = -2*m - 3*m. Let o(a) = -a**3 + a**2 + a. Let p be o(m). Solve -8 = -p*d + z*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -21*p**2 + 74*p - 156. Let f(u) = 5*u**2 + u + 1. Let v(k) = 4*f(k) + y(k). Factor v(q).\nAnswer: -(q - 76)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t + 4*c + 25, 5*t + 2*c = 5. Let l(h) = -4*h - 6 + 2*h + t*h. Calculate l(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1145*c - 67. What is the units digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 5, 6.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43\/4 + 11*i - 11*i**3 - 1\/4*i**4 - 21\/2*i**2.\nAnswer: -(i - 1)*(i + 1)**2*(i + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184775932*g**3 - 167824246*g**2 wrt g.\nAnswer: -1108655592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - n + 2 = 0, 9*n - 14*n = -5*t - 30 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5*i - 4. Let m be 1\/((-14)\/5 - -3). Let b = m + 0. Suppose -f = 4*p - 13, -5*f + 0*f + 5 = b*p. What is r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/18 - (-22)\/198. Let a(s) = -5*s + 5*s + 3*s + r*s. Let m be a(1). Solve 4*n + 16 = -3*o, -4*n = -n + m*o + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-616)\/(-196) + (-1)\/7. Suppose 5*h + 4*u + 21 = n*u, 3*h + 3*u + 3 = 0. Let j = 2 + -3. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29127.00069865 + 29127. What is y rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**2\/2 - p + 1. Let d be (3 + 14\/(-4))*-2. Suppose d = h - 3. What is o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16647 - 32?\nAnswer: 16615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/5 - (-3288)\/60. Suppose 0 = -0*o + r*o - 224. Solve 3 + 10 = -2*t + v, t + 3*v - o = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**2. Let n(d) be the second derivative of -1\/2*d**4 + 0 + 0*d**2 + 0*d**3 - 18*d. Calculate n(u(b)).\nAnswer: -726*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1 + 6)*-1. Suppose -i = -3*q + 17. Suppose o - q = 7. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n + 15 = 9*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/7 - x**4 - 80*x**3\/7 + 576*x**2\/7 = 0. What is x?\nAnswer: -9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)\/(2*sqrt(4)) + -1)*-5.\nAnswer: -15*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Suppose 8*d + 2 - 34 = 0. Let y = 1 + 0. Which is the nearest to h? (a) d (b) -2\/19 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (210120\/(-927))\/((-4)\/6) and 3400.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 115, -292.7, 5, -2?\nAnswer: -292.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(-4 + sqrt(4050) + (1*sqrt(4050)*-6 - sqrt(4050) - sqrt(4050)))**2)*-3.\nAnswer: 7560*sqrt(2) + 595383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065143503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*c - 1078, -2*c + 1568 = 4*v - 508. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((410688\/(-868))\/72)\/((-5)\/(175\/(-20)))\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152*s + 143?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 + 4 = 2*w, 3*w - 29 = y. Is 10 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -7*y**3\/3 - 3*y**2\/2 - 3*y. Is 9 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*(-2)\/3*57\/(-76)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23432*i - 13*i**3 + 11709*i + 11697*i - 2 to t + b*i**3 + p*i**2 + c*i and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + v = -23, -10*v + 13*v + 4 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 28*y**2. Let o(f) = 14*f**2. What is -4*c(a) + 9*o(a)?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 13*n**2 - 11*n + 14. Let p be (-14)\/91 - 180\/13. Let f be w(p). Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 - 3*b + 663\/4.\nAnswer: -3*(b - 13)*(b + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8529 + -8495. Solve 2*q - 38 + k = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6489, -12986, -19485, -25986, -32489?\nAnswer: -38994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 12:21 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*h + 48, 3*h + 2*m + 35 = 6*h. What is the least common multiple of h and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 9. Let y(t) = t + 4. Let v(z) = -4*x(z) - 9*y(z). Suppose 778 - 544 = 26*k. What is v(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 35613?\nAnswer: -35610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.481 times 657.7?\nAnswer: -18731.9537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 144, 271, 470, 753, 1132?\nAnswer: 1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -23*s + 24. Suppose 13*z = -54 + 2. What is the hundreds digit of l(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 5*j**2 + 4. Suppose -4*p = -6*p + 8. Suppose 6 + p = -2*r. Give c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {m: 3, i: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-1 + 6 - (23 + -21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1677 and 780?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(40\/(-30)*(-3)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 9*y - 6. Let u be (-5 - (4 - 5))*(-6 - 1). Suppose -6*j + 10*j + u = 0. What is z(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c724e (base 16) to base 9.\nAnswer: -1472826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16277069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407937 is divided by 523.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -8)*(-1 + 4 + -647). Let x = 88 + r. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + k**3\/6 + k**2. Let i(h) = -4*h**2 - h + 5. Let x = 12284 - 12283. What is x*i(r) - 5*m(r)?\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4970 + -3132. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -50, 169 in ascending order.\nAnswer: -50, -5, 2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 1624.42.\nAnswer: 1626.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9721734 is divided by 58919?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4205 and 2755.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22230 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.27, 1, 8, -18\/7, 35 in ascending order.\nAnswer: -18\/7, -0.3, -0.27, 1, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -32. Let n be j\/3 - (-4)\/6. Suppose n = u - 4. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by 73?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -21265 at least -22020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxaxxxaaxx. What is prob of picking 3 x?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -506032.671 + 0.004814\nAnswer: -506032.666186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570367 is divided by 9667?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7257, -14515, -21773?\nAnswer: -29031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 754 and 604360?\nAnswer: 7856680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -861 + 877. Let t = -76 - -186. What is the remainder when t is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:31 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -512.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -10603.\nAnswer: -50\/10603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 0.93. Let i = 0.13 + t. Let o = 1 + -5. Sort -1\/4, o, i.\nAnswer: o, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 9*f - 6. Let o be t(10). Let c = 4 - 2. Put c, o, 1, 0 in decreasing order.\nAnswer: o, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*z**3 - 582*c**2*z**2 + 65*c**2*z + c*z**3 - 6*c*z**2 + 2*c*z + 20*z**2 + 926*z wrt c?\nAnswer: 8*z**3 - 1164*z**2 + 130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1901 less than -1901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-8))\/(-1*(-2)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -16*z**3 - 11*z - 11. Let w(u) = -3*u**3 - 2*u - 2. Let x = 4 - 2. Let k(d) = x*r(d) - 11*w(d). Let b(s) = 8*s**3 + s**2. Give -b(o) + 6*k(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 - 4*m - 2. Let o be f(9). Let s be ((-798)\/19)\/(((-6)\/o)\/(-1)). Does 21 divide (-8)\/10 + s\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*1)\/sqrt(9) + 4*sqrt(8)*-3)*4.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 + 5 = 0. Let n(h) = 159*h - 8. Let x be n(0). Let k be ((-2)\/2)\/1*-4. Sort x, k, s in decreasing order.\nAnswer: k, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-3)\/(-1*sqrt(12)))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6373 times 2\nAnswer: 12746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qch when three letters picked without replacement from hwehwoqecwwwo.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -121731 (base 10) to base 4\nAnswer: -131232003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 4*o + z - 2, 2*o + 10 = 3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m. Let n(b) be the third derivative of 0*b**4 + 1\/20*b**5 + 0 + 3*b**2 + 0*b**3 + 0*b. Calculate n(z(g)).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-14)\/91 - 782\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32525 and -0.5.\nAnswer: 32524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:56 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*h + 21 = 2, -4*c - h + 11 = 0. Suppose s + 5*f = -168, 4*s + c*f + 325 + 267 = 0. Let a = -80 - s. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*s - 49*s - 177*s - 167*s in the form j*s + f and give j.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (473\/(-33))\/((-2)\/6). Let o = t - -178. What is the remainder when o is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015200 = 3*s + 3*f, -3*s - 10*f + 1282371 - 267164 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20245 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**15\/f**(2\/11)*(f\/(f**(-11)\/f))\/(f\/f**(4\/13)))**(-44) assuming f is positive.\nAnswer: f**(-15516\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2\/5 + 10689858*f\/5 + 44897580 = 0.\nAnswer: -21, 5344950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347 + -185. Let g be 3\/((110\/168 + (-200)\/350)*6). What is the greatest common divisor of g and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c53 + -b961?\nAnswer: -ad0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 4. Let m = 7 - d. Suppose -z = -23 - m. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794374 + 794374 + 37*x.\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - z. Let y = 0 + 1. What is w(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-444)\/33*484\/(-88) and 22?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 36*j - 20. Let o(k) = 4*k - 51 - 30 + 99. Let m be o(-6). Let p(x) = -73*x + 39. Let w(r) = m*p(r) - 13*i(r). What is the derivative of w(u) wrt u?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1708.7 to the nearest 10.\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 590428 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 387.2 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 315, 978, 2243, 4308, 7371, 11630?\n\"Answer: 33*a**3 + 4*a**2 + 16*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + (-30 - -15) + 11 + -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ad73 - 22?\nAnswer: -6ad95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -917, -3326, -7227, -12608, -19457, -27762, -37511, -48692?\nAnswer: -61293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3418 greater than or equal to -3411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*h - 8, -h + 4 - 1 = t. What is the second derivative of -t*s**2 + 5*s**2 + 0*s**2 - 2*s**2 - 2*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c + 6 = 0, 4*d - 21 = 3*c. Solve 2*b = -d*k + 2, 0 = k - 5*b - 14 + 36 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 111684?\nAnswer: 1\/27921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/7 + 113026*d\/7 + 64584.\nAnswer: (d + 4)*(d + 113022)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 261, 268, 289, 330, 397, 496, 633, 814?\n\"Answer: p**3 + p**2 - 3*p + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -236 (c) -0.2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -330?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2 - (-36)\/(-24))*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by -460.\nAnswer: 37\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/730670895 and 119\/450?\nAnswer: 7306708950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 2 + 8 + 8 + 15688*s + 10.\nAnswer: 15688*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(-158 - 105 + 11*f**2 - 2*f + 258) as m + g*f**2 + c*f and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 34302 + 34142 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 55 + 1. What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/240 - s**5\/60 + s**4\/48 + s**3\/6 + 2*s**2. Find o, given that n(o) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1245 + 13170. What are the prime factors of t?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 769 (c) -2\/3 (d) 1\/6 (e) -4 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h + 42*h - 5*h + 24*h + 33*h + 2*h.\nAnswer: 104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 6, y: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -4.6. Is -1\/4 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*z + 3172308 - 3146208 = 0 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 1090*z**2 + 158326*z - 2628422.\nAnswer: 2*(z - 263)**2*(z - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29603549 and 2.9.\nAnswer: 85850292.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by (7\/(-35)*-10)\/(2\/37)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.47, -1, -0.2 in increasing order.\nAnswer: -5, -1, -0.2, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3\/2, -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297 + 301. Solve i + 17 - 1 = -4*p, 4*p = 2*i - d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11002 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Let k = -4 - 6. Let u = k + n. What is the biggest value in u, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60705 = -15*w + 1167 - 11652. Calculate the greatest common divisor of 124 and w.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3257088132 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 203 times 0.1\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.72 + -0.28. Let p = u + 11. What is the second smallest value in -0.1, 3, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -2\/21*q**7 + 0*q**4 + 0 + 0*q**2 - 9*q - 5\/6*q**3 + 0*q**6 + 0*q**5. Find the second derivative of c(a) wrt a.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*i + 68, 0 = -n - 4*i + 10 + 22. Suppose 37*f - 5096 = -25*f + 10*f. What is the remainder when f is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 7:46 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 673?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 41 (b) 2 (c) -2 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b - 248. Calculate the least common multiple of 18 and p(16).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17809 - -1069970. Let o = j + -464158. Let n be o\/(-12) + 4\/16. Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168246 divided by -39\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1988008898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451142 and 2567494?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*k + 450*k + 7793 = 262*k - 25692 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1211*j - 3925. List the prime factors of c(-30).\nAnswer: 5, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 0.4 (c) -28.6 (d) -2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.3. Let h be (2 + -4)*(-4)\/28. Sort o, -5, h.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 27.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l + 6. Let n be v(1). Solve n = -3*c + 2*f - 17, c = -3*f - 2*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 4*t - 4*t)*(-19 - 43 - 18).\nAnswer: 160*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/1*(-310)\/(-5580)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-135)\/(-36))\/(3\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -9, 100, 9, 469, 3.\nAnswer: -9, -1, 3, 5, 9, 100, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d**3 + 6*d**2 + 4. Let s(r) = 10*r**3 - 3*r**2 + 2. Calculate 5*s(w) + 2*t(w).\nAnswer: 10*w**3 - 3*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -45. Let g be (-9)\/(-3) + 17 - 2. What is the highest common factor of r and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1460607 and -163\/30?\nAnswer: 14606070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 50 = 17*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.527072 weeks in nanoseconds?\nAnswer: 3342773145600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -439 (base 12) to base 7\nAnswer: -1545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26325 or 26327?\nAnswer: 26325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.314885 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -24. Let i(f) = f**2 - 6*f + 2. Suppose s - 5*w = -10, 2*s - 3*w + 4 - 5 = 0. Let j be i(s). Is j > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4*v = -31, 284*v = 4*d + 286*v - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -265, 34, 455, 998, 1663?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) 2 (d) 0.5 (e) 280\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.5 and -1.1.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s - 460. Let n = -5 - -5. Let h be l(n). Round h to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 286 = -9*y. Suppose -21*g + 4 = -y*g. Let t(a) = 6*a - 4. Calculate the remainder when 76 is divided by t(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c7 + -2?\nAnswer: 2c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + 101. Let p = 283 - f. List the prime factors of p.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 x when four letters picked without replacement from {g: 8, x: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3270 and 545.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**(-12))\/m)*m**(1\/6)*(m**0)**21 assuming m is positive.\nAnswer: m**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**2 - 2*i**2 - 4*i**2 + (-2 + 6 - 2)*(-2*i - i + 4*i + 2*i**2) to the form h*i**2 + j*i + v and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 34) + -7 + (4 - -13 - 13)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a - 274. Let n(o) = 4*o + 1. Calculate 11*n(w) + x(w).\nAnswer: 24*w - 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48743\/28 + -45266\/7. Let s = -4750 - w. Let a = -1544 + 21597\/14. What is the common denominator of s and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 57536316038.\nAnswer: 57536316040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, 2, 1\/9, -1.3, 0.22?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 25*s + 51\/2.\nAnswer: -(s - 51)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/74062 and -13\/7796?\nAnswer: 148124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-4\/7)\/v*v)*v))\/(v*v*v*v\/(((((v**(-11)\/v)\/v)\/v)\/v*v)\/v))*v**(6\/11)*v*v**(-3\/5)*v)**44 assuming v is positive.\nAnswer: v**(-28684\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.047 + -0.447. Which is the biggest value? (a) 5 (b) n (c) -6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/121 (b) 4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 26*g = -84 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/12 - 946\/(-20). Let z = q + -48. What is the second biggest value in 1\/5, z, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*t - 3706 = 2874 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -68, -95, -116?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 1\/5, 431, 113?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -13 + 45. Let v(d) = -2*d - 11. Let z be v(y). Suppose -z*j - 75 = -260. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (306\/136)\/(6\/(-128)). Calculate the common denominator of -32\/27 and (-86)\/j - (-32 + 32).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 + 7 = 0. Let a(y) = -65*y**2 + 16836*y - 286. Let d be a(259). Put 0, l, -2, d in ascending order.\nAnswer: d, -2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01848948 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:36 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794734 (base 10) in base 11?\nAnswer: 2162049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 845 and 2.\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b**2 - b**2 - 5*b**2)*(b + 4*b - 2*b) + (-b**2 + 3*b - 3*b)*(4*b + 10*b - 4*b).\nAnswer: 71*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 229 = -43. Let n be 17\/(-5)*(-2960)\/148. Calculate the highest common factor of j and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1494296 divided by -1237.\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**7\/1260 - q**6\/60 - 3*q**5\/20 + q**4\/24 - 5*q**2. Let g(j) be the second derivative of z(j). Factor g(y).\nAnswer: -2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 10. Let o(r) = 279434*r**2. Determine p(o(h)).\nAnswer: -279434*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208131250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 194.42 (c) -3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-16))\/(((-36)\/14)\/((-936)\/(-819))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 13. Let g(m) = 5*m + 12. Let f(j) = 4*g(j) + 3*y(j). What is the tens digit of f(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 638*n**2 + 5117*n + 32956. Calculate l(646).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/((-7175)\/1120)*5\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 80969556 rounded to the nearest one million?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 4*x = 10, -5*q = -2*x. Suppose 0 = -q*y - 0*y + 8. Solve -5*c + y*c + 5 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 2515 = -1747. Solve 2*s = -5*t + 3, 4*t + 8*s - 4*s = m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 33 - 9 + 54 + 8 + 27*r. Calculate k(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468 is divided by 124.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18102 is divided by 1392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3564 is divided by 1184.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-18) + 3 + 5\/45. Suppose 2 = u - 0, 4*u - 88 = -5*v. Solve 5*o + 17 = 3*k, -v = o - p*o - 5*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -105*q + 147. Let v(i) = -53*i + 74. Let y be ((-30)\/(-18))\/((-2)\/(-6)). Let f(x) = y*v(x) - 3*w(x). Differentiate f(h) wrt h.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n. Let o(k) = -12*k**3 - 16*k**2 - 16*k. Determine -48*i(l) + 3*o(l).\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -21*l**3 + l**2 + l. Let o be j(-3). Suppose -3*h - 2*m + o = 0, 4*m - 6 = 6. Suppose -3*k + h = -12. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 54*p + 105. Let m be v(25). Let u = 256\/301 + 2\/301. Which is the closest to -1\/4? (a) m (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b - 0?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -102\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85918 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -56*p. Let m(t) = 19*t. Let q(g) = -8*m(g) - 3*x(g). Let z(y) = -y. Calculate q(z(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from amambwuwg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -6. Let d = m - -5.8. Is 0.1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-940)\/30*(45\/(-6))\/5 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 - 37702 + 12563 + 12577 + 12562.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6130666*l**6 + 7165*l**2 - 186*l - 1 wrt l.\nAnswer: -735679920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121891 by 77.\nAnswer: -1583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*(39 + -34 + (-66)\/14). Sort 13\/3, 17, t, -5.\nAnswer: -5, t, 13\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -164?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 87. Suppose -a + 23 = -d. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 10664.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437114 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + v + 163 = 4*v, 4*s = 4*v - 160. Let i = -19 - s. Suppose 3*z - 21 = 3*g - z, 4*z - i = 4*g. Which is bigger: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*a + 557*a + 4652 - 196*a + a**2.\nAnswer: a**2 + 2*a + 4652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284.482 + -281.8. What is s rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.063 in 0.07, 0.1, 18\/13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -2*q**2 - 4*q - 6. Suppose 4*t + 12 = -2*j, 11*t - 6*t + 14 = -2*j. List the prime factors of a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -499664.\nAnswer: -499658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 66731432\nAnswer: -734045752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193242 and 2730?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -156. Calculate the common denominator of (-27)\/75*k\/4 and 133\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 9*q**2 + 20*q. Let n be m(4). Solve n = 6*b - 4*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 44*g + 112.\nAnswer: 4*(g - 7)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.38634 weeks to milliseconds.\nAnswer: 23820858432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 216802208 divided by 14\nAnswer: 15485872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/16796895 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3 = -p + o, o - 4 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 7824452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 5. Let q be n(6). Suppose 0 = 3*t + 198*d - 203*d - 4, -4*t = 5*d + 53. What is the nearest to q in 0, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 41 = v. Let a = v - 0. Let y be -1 + a\/(-4 + 2). Solve -s = 2*m + y, 3*s - 2 + 0 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**3 + 12*o**3 - 7*o**3 - 3*o**3 + 750*o + 7*o**3 + 256*o**2.\nAnswer: 2*o*(o + 3)*(o + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4310531 + 332?\nAnswer: 4311303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14468644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1693 = -3*a + x, -5*x = -14 + 24. Let m = a - -688. Calculate the remainder when m is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x**2 + 5*x + 4. Let q be j(-3). Let z = -65 + q. Suppose -a + 0*a + z = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 866\/19 (c) -0.1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3201 and 217\/297330?\nAnswer: 28841010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15*s = -12*s + 7, -5*w = -s - 13. Solve 0 = w*a + 1 + 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49817, -99728, -149637, -199544?\n\"Answer: g**2 - 49914*g + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -37*u + 20*u - 4 - 5 + u**3 + 8*u + 5*u**2. Determine t(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*4056\/1183.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 59 = -27*y - 323 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32593 plus 109716.7?\nAnswer: 77123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o*o**5)\/(((o\/(o*o**(-2\/15)))\/o)\/(o*o**(2\/7))) assuming o is positive.\nAnswer: o**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dep when three letters picked without replacement from dddddptddetdddd?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 215025 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*f**2 - 7327 + 6*f - 3*f**3 - f**4 + 7327 to n*f**2 + w + m*f + r*f**4 + c*f**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(15\/7)\/(f\/f**(-18)*f) assuming f is positive.\nAnswer: f**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1031 divided by 313433.\nAnswer: -1031\/313433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = p, -3*p + 1 = -2*p + h. Suppose -5*w - 134 = -p*w + 5*m, 0 = 5*w - 2*m + 213. Which is the second smallest value? (a) 0 (b) -1\/10 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -633.8 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -23\/2. Sort a, 5, -5 in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -148\nAnswer: -13024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)\/(h*h*h*h\/h**(7\/2)*h))\/(h**0*h)**(5\/16) assuming h is positive.\nAnswer: h**(-27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*r + 8 = 0, p = -3*r + 1 + 5. Solve 0*g - 24\/5*g**3 + p - 18\/5*g**4 + 14\/5*g**5 + 8\/5*g**2 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/2 - 565*c\/2 - 280.\nAnswer: -5*(c + 1)*(c + 112)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 10*r**2 + 21*r - 4. Let j be c(-8). Let l = j - -67. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(280))\/sqrt(7))\/(sqrt(2)*1*2))\/(sqrt(110)\/(1*sqrt(396))*-4).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from zrzzbkkzzkrzzk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 10\/3. Let o = -2 + 3. Let i be 3\/o*(-4)\/30. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2196 = -21*p + 5700. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*q - 3*q - 3*q)*(-2 - 3 + 6) + 3*q + 0*q - q + (3 - 2 - 4)*(-7*q + 2*q - 12*q))*(3 + 0 - 1).\nAnswer: 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 + 177.67. Let i = q - 0.66. Let t = -7\/18 + -10\/9. Which is the closest to i? (a) t (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 296 + -291. Solve z*g + 16 = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1484, -5754, -12782, -22568, -35112, -50414?\nAnswer: -68474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 103171 (base 11) to base 2\nAnswer: 101000010101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2569.\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - 100. Put 5, -15, n in descending order.\nAnswer: 5, n, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-685)\/(-1233))\/((-65)\/(-6))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 117\/156*(51 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.086 - -15.914. Sort -0.3, 1, l.\nAnswer: -0.3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51516 by 12.\nAnswer: -4293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(0 + 3*(-10)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 0) + -60 + (-30 - -44) - 5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690 is divided by 291?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429679069?\nAnswer: 3, 2287, 118043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40023.48m to centimeters.\nAnswer: 4002348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*q + 18*v - 23*v, -5*q = -4*v + 13. Let h(d) = 5*d - 8*d + 0*d - 7*d - 1. What is h(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-160 - 14)*2\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00218621647 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4591152164521 - 4591151632541.9470006. Let o = -531979 + c. Let y = o + -0.053. Round y to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -25. Let x = 47\/150 + 1\/50. Which is the closest to x? (a) -5\/4 (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*b = 6, -5*b = -2*y - 9*b + 22. Suppose -y*n = -22*n + 153. Let k = n + -30. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35644\/8425 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 2*a + 4*a**2 - 2*a + a.\nAnswer: 3*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.6 take away -2.25200698927?\nAnswer: -48.34799301073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(-2)*(i**(-10)\/i)\/i*i*i assuming i is positive.\nAnswer: i**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 608090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y**4 - 1032*y**3 + 24918*y**2 - 41792*y - 7224 = 0. Calculate y.\nAnswer: -43, -3\/19, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 6*h**3 - 2*h**3 + h**2 - 7*h**3 to d*h**3 + w*h**2 + i*h + g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9220342 millennia?\nAnswer: 92.20342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 2. Let q be x(5). Let i(p) = -p - p**q - 1 + 3 - 1 - 4*p**2. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4925602 (b) -3 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(z\/(z*z**(2\/5)))\/z*z*z)\/z**(1\/12)*z**(-1\/9)*z**5*z assuming z is positive.\nAnswer: z**(1513\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - -0.02. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50980, -101844, -152706, -203566, -254424, -305280?\n\"Answer: s**2 - 50867*s - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = z - 11, -y - 2*z + 0*z + 4 = 0. Let o be (0 - 4)\/(0 + y). Suppose 2*g = 4*q - 2 + 16, -q = g + o. Sort q, 0, -22.\nAnswer: -22, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**3\/6 - v**2\/2 + 12*v. Let d(p) = 2*p**2 + 6*p - 4. Give -6*a(l) + d(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189\/170 + 222\/85. What is the closest to o in -13.6, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 283, 20, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6815600, 6815597, 6815596, 6815597?\nAnswer: 6815600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/9 + 38*f**4\/9 - 274*f**3\/9 + 626*f**2\/9 - 592*f\/9 + 200\/9 = 0.\nAnswer: -25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**7\/42 - f**6\/8 - f**5\/6 - 17*f**2 - 37. Let i(m) be the second derivative of z(m). Factor i(x).\nAnswer: -5*x**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -138, -312, -556, -870, -1254?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.3, -6\/7, 0.3, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from znhdhkhnhhnhhkhhhhk?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/56, -48.05 in descending order.\nAnswer: 1\/56, -7, -48.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 728*g + 2201 + 949*g - 551 wrt g?\nAnswer: 1677","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015099 to 5 decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:29 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - 8.2. Let k = s + 10.7. Which is the second smallest value? (a) k (b) -4 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 16*y - 803. Let z be p(27). Solve 77*r - z = 162 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -1\/6*l**3 + 0*l**2 + 0 - 58*l. Let g(v) = v**2 + 98. What is g(c(d))?\nAnswer: d**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 54*b - 284 = 556 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 843 + -2?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c - 21 + 149*c - 75*c + 27.\nAnswer: 58*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19004230449 + -2210.\nAnswer: -19004232659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-230568111*s**2 - 347 + 3*s**3 + 6*s + 1429 + 230568113*s**2) as n*s**3 + u + z*s + h*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.8 + -214.5. Let q = w + 60.6. Round q to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + z - 4. Let c(y) = -6*y**2 - y + 7. Let t(o) = -o**3 + o**2 + o + 2. Let f be t(0). Let p(b) = f*c(b) + 5*m(b). Let p(u) = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2056411, 2056437, 2056463, 2056489?\nAnswer: 2056515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 350. Suppose -4*m - 36 + l = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -178, -196, -214, -232?\n\"Answer: -18*l - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1040, -4174, -9408, -16748, -26200, -37770?\n\"Answer: -s**3 - 1044*s**2 + 5*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i**3 - 25*i**3 - 6 + 0 + 6*i**2 - 3*i - 1. Is r(5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - q - 175 = 0, -2*q = 3*y + y + 232. Let m = y - -59. Suppose m = 2*j - 8, 5*d - j + 4*j + 253 = 0. Is d at most -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + f. Let g(s) = 37*s**3 + 8*s**2 + 2*s. Let l(o) = g(o) - 3*i(o). Let k be (1\/3)\/(4\/12). Is l(k) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56199729 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/460)\/((-5)\/((-150)\/(-4))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/10 + u**4\/12 + u**3\/6 - 15*u**2\/2 + 824*u. What is v(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 26 = 2*a, -4*a - 3 = 3*n - 30. Suppose 86 = -a*m - 7. Let c = m - -49. What is the least common multiple of 16 and c?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94456 is divided by 15737.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 170300, 681288, 1532956, 2725304, 4258332?\n\"Answer: 170340*z**2 - 32*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -127*u + 10. Let s be n(-10). Suppose -195 - s = -5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26391 - 18201. Is h a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 37.17. Let q = y + -0.5. Let d = 0.77 + q. Which is the second biggest value? (a) 0.2 (b) -19 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-136))\/(2\/17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-22))**(-2\/55)\/(m**(-1\/2))**48 assuming m is positive.\nAnswer: m**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -621, -992, -1361, -1728, -2093, -2456?\n\"Answer: f**2 - 374*f - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -795*w - 68371. Give h(-86).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (1 + -24)) + -20 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 683 and -14.3653.\nAnswer: 668.6347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -h. Let b(y) = -2*y + y**3 - 3*y**2 + 2*y**2 + 0*y**2. Let x be b(2). Sort h, x, -2 in decreasing order.\nAnswer: h, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.111 + 9.411. Let l = 9.29896 - g. What is l rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536239.5 tonnes in grams?\nAnswer: 536239500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + v + 14 = 0, -5*z - v + 30 = -6*v. Which is the closest to z? (a) 0.5 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -8. Let s be (9\/2)\/((-5)\/10). Calculate the lowest common multiple of y and (-26)\/(-4) + s\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + v - 1159. Let o(q) = 597*q + 2. What is r(o(u))?\nAnswer: -712818*u**2 - 4179*u - 1165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68817499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g + 6. Let w(b) = b**2 - 5*b + 3. Let x be w(g). Let r(a) = 3*a**2 + 3*a + 3. List the prime factors of r(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3053004972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 4*r, -13*o + 3*r = -9*o + 21. Let p = 26 + o. Calculate the greatest common factor of 161 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -0.5. Suppose 0*q - 4*y = 3*q + 4, 0 = 4*q + 5*y + 6. Let p = 4 + -5. Which is the nearest to -2\/3? (a) j (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b. Let k(s) = 26*s. Let t(n) = n**3 - n. Let z be t(-2). Calculate z*k(r) + 17*d(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.164, -3, 1.7, -2\/17.\nAnswer: -3, -0.164, -2\/17, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-3)\/(-6)*(-28)\/(-35). Solve p*c = 5*c - 4*s - 10, -5*c = 5*s - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 104*j - 165. Let p be i(-51). Let l be 69\/p + 1 - (-3640)\/7350. Determine d so that -l*d + 0 - 2\/5*d**3 + 4\/5*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/13 (b) 2\/7 (c) -2.5 (d) 1.7 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + 0 - 10) + 6. Find the third derivative of -10*i**2 - 1 + t - 93*i**4 + 91*i**4 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(8\/88)\/(1 - 118\/(-22))?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 - 4*f - 10. Let u be 66\/(-12) - 6\/4. Let w = 14 + u. What is the tens digit of d(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 minus -522.285?\nAnswer: 523.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 13 - 33 - 43 + 5*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.041, 1, 13, -6439, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*l - 456, 4*s + 401 = 4*l + 65. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*z = 57, -2*x - 35 = z - 10. Let s = x + 22. Solve s = -3*d + 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 300 = -5*q + 4*w, -5*w + 148 = -2*q + 768 - 260 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 80 + 178. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6669*y**2 + 46330*y wrt y?\nAnswer: 13338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-26)*1417\/109)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358210 divided by -1?\nAnswer: -1358210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56399 + 56394.4989. Let q = s + 4.7. Let f = q - 0.2. What is f rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80.4 + -79.937. Let b = a + -0.47054. Round b to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 9*m - 10. Let n be v(-7). Let u = -14 - -12. What is the biggest value in u, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16ed27 + -1e?\nAnswer: -16ed45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from tssssyytytst.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/53 + -582\/583. Let u = -5 - -5. Is h at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2, -0.8503, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 30 = 5*y. Let g(x) = x - y*x + x - 6. Let a(v) = v + 1. Suppose -5*s = -0*s + u + 26, -5*u + 2 = 3*s. Calculate s*a(z) - g(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 706 - 490 = -5*g, 5 = -5*a. Find h such that 18*h**3 - 242*h**2 - g*h**2 + 473*h**2 - 24*h + 12*h**4 + 2*h**5 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -3. Let h(o) = 3*o**2 + 101*o - 39. Let n be h(-34). Let a = -266\/3 + 88. Sort p, n, a in increasing order.\nAnswer: n, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 + s - 1. Let r be y(2). Suppose -r*j + 25*j + 96 = 0. Suppose 0*h = 4*h - j. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*z + 9 = 0, -114*x = -119*x + 6*z - 48 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*w**4 + 1960*w**3 - 922107*w.\nAnswer: -324*w**2 + 11760*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 0)*4 + (-2*(sqrt(704) - (sqrt(704) + -1 + sqrt(704)) - sqrt(704)) - sqrt(704)))**2 + 2.\nAnswer: -224*sqrt(11) + 34502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -470.0386 - -0.0386. Let b = -536.8 - a. Let j = b + 66.8000469. What is j rounded to six dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2197, 4387, 6575, 8761, 10945?\n\"Answer: -z**2 + 2193*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o + 246. Let k be f(0). Let j = k - 134. What is the greatest common divisor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0338 - -1797421\nAnswer: 1797420.9662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*l = 0, 0 = 1071*u - 1076*u + 3*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(48)\/(2*sqrt(4))) + -1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 2 f when four letters picked without replacement from {n: 1, f: 3, i: 3, p: 4, a: 2, h: 4}.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1936, 5368, 10886, 18490, 28180, 39956, 53818?\nAnswer: 69766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465 and 20?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - f = 52, 3*j - f - 32 = -0*f. Let g be (-1046)\/9 - j\/(-45). Let m be g\/78 + (-2 - 112\/(-52)). Sort 5, m, -3, -0.3.\nAnswer: -3, m, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3551799 + -3552028.00289. Let n = r + 229. What is n rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9795.23 from 6.\nAnswer: -9789.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5653*c**2. Let g(f) = 7*f. Calculate n(g(a)).\nAnswer: -276997*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115, 1002, 2859, 5456, 8793?\n\"Answer: 370*a**2 + 7*a - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 5:21 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -24, 76, 5, 3.\nAnswer: -24, 0, 3, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 2180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z. Let u = -288 - -292. Suppose -5*y + 4*r = -228, -y - 2*r = 3*r - 63. Let x(i) = 4*i - u*i - y*i**2 + 53*i**2. Give p(x(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/12*j**4 + 4\/3*j**3 + 3*j + 13\/2*j**2 - 1. What is i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85\/4 > 12960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -2*b - 8, 4*b = -2*o + 6. Let y be b\/(-4)*-2*2084\/(-2). Suppose 511 = 4*z - y. List the prime factors of z.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21455493 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41696609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89260?\nAnswer: 2, 5, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00462 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -41 and 347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 21. Let j = 5 + l. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80382 = -1275*a + 310*a + 36383 for a.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*m - 30 = 0, -50 = -2*i + 2*m - 10. Suppose -2*z + i = -3*y, z - y - 9 = -0*z. Let n = -3 + 18. Solve z*o = -0*o - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 895\/(-2)*(-32)\/20. Let o = v + 1955. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 608 and 763192?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 + 0*n**4 + n**3 + 0*n**4)*(0 + 72 - n - 150).\nAnswer: -n**5 - 79*n**4 - 78*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -26109 = -26228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4098, -8325, -12550, -16773, -20994, -25213, -29430?\n\"Answer: x**2 - 4230*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -6. Let x = z + -5. Let h(i) = -2*i + 3 - 2*i + 0 - 3*i**2 + 2*i**3. Let q(n) = -n**2 - n + 1. What is x*h(m) + 3*q(m)?\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:51 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177069106 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1698.2 + 1698.7. Which is the closest to -0.2? (a) 4 (b) l (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137456?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 2, q: 1, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 55*x**2 - 1224*x - 7436. Let k(q) = q**3 + 2*q**2 + 6*q. Let v(j) = -a(j) + 4*k(j). Let v(f) = 0. Calculate f.\nAnswer: -26, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 114 = v. Suppose -9 = 4*l - v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*m - 0*m. Let g(a) = a**2 + 6*a + 1. Let p be g(m). Let c = 61 - p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 - 328369?\nAnswer: -328521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.84 plus -26.53647?\nAnswer: -23.69647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764 is divided by 2351?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-4)\/78*39?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7259*z**2 - 74*z + 143. Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, o: 1}. What is prob of picking 1 z and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 634 - 604. Solve 0 = -2*v - 4*v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 107*p**2 - 331*p + 10. What is k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*r*w + 2*r*z**4 - 5*r*z**2 - 5*r + 2*w*z**3 - 134*w + 3504020*z**4 - 2*z**2 wrt z.\nAnswer: 48*r*z + 12*w + 84096480*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 142802?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -113\/5, 1\/3, -0.2, -0.053, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 25 + 1 = 0. Solve 12*m**4 + 40 - 46*m**2 + 52*m**2 + z*m**4 - 5*m**5 - 56*m**2 - 5*m**3 + 20*m = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7722653.\nAnswer: 7722653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)\/(3\/15). Suppose -3*h + 6 + 0 = 0, 2 = 2*d - o*h. Let g = d + 12. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/98872 and 103\/90467880.\nAnswer: 90467880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/41488 and -89\/60.\nAnswer: 622320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -204, -27, 220, 537?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 4, x: 1, o: 4, u: 7, g: 1}. What is prob of picking 1 a, 1 u, 1 r, and 1 g?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199342664?\nAnswer: 2, 24917833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 - -1150. Let u = b + -482. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 226647?\nAnswer: -226652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018 = 5*u + 993. Let v(a) = -8*a + 2. Give v(u).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 24 + (-9 + -16 + -120 - -38)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3473848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193\/44 - -155\/33. Calculate the common denominator of d and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184064.5244 + -1040.\nAnswer: 183024.5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*(-9)\/(135\/(-2154)). Suppose 2679 = 5*u + 3*q, 4*u + 0*u = 3*q + g. Calculate the remainder when u is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1461 - -0.067652225?\nAnswer: -0.078447775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618 = -25*w + 784 - 34 - 343 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 23. Let u be d(4). Let b = u - 14. Solve 2*m - 4*y - 13 - 13 = 0, 3*m = -4*y - b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}